Conditional Probability – NBC Institute

QTB – May 2015 – L1 – SA – Q8 – Statistics

Determining the probability of receiving mutilated notes from a specific cashier using a tree diagram.

Question

The following tree diagram shows the scenario with two cashiers (A and B) at a bank where $M$ represents mutilated notes and $N$ represents new notes.

If a customer received mutilated notes, what is the probability that she was paid by cashier A?

A. 0.54
B. 0.55
C. 0.56
D. 0.59
E. 0.61

Answer

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Tags: Conditional Probability, Probability, Tree Diagram
Level: Level 1

Topic: Statistics
Series: MAY 2015

QT – May 2016 – L1 – Q3 – Probability

Calculate the probabilities of various outcomes in a card drawing scenario, including conditional probability based on drawing a red card.

Question

a) If from a normal pack of 52 cards, consisting of four suites each of 13 cards, one card is randomly selected:

Required:

Calculate the probabilities of selecting the following:

i) An ace
ii) A club
iii) An ace or a club
iv) The ace of clubs
v) A picture card (i.e. a jack, queen or king)
vi) A red card
vii) A red king
viii) A red picture card

b) Given that a card selected is red, calculate the probability that it is a picture card.

Answer

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Tags: Card Shuffle, Conditional Probability, Mutually Exclusive Events, Probability
Level: Level 1

Topic: Probability
Series: MAY 2016

QT – May 2019 – L1 – Q6b – Probability

Calculate probabilities based on student survey data regarding their favorite sports.

Question

A survey of The Institute of Chartered Accountants (Ghana) students asked the question: “What is your favourite sport?” The results are summarized below:

Level	Football	Boxing	Hockey	Total
1	68	41	46	155
2	84	56	70	210
3	59	74	47	180
Total	211	171	163	545

Required: i) What is the probability of selecting a student whose favourite sport is boxing? (2 marks)

ii) What is the probability of selecting a Level 1 student? (2 marks)

iii) If the student selected is a Level 2 student, what is the probability that the student prefers hockey? (3 marks)

iv) If the student selected is a Level 2 student, what is the probability that the student prefers football or hockey? (3 marks)

v) If the student selected prefers football, what is the probability that the student is a Level 1 student? (3 marks)

vi) If the student selected is a Level 3 student, what is the probability that the student prefers football, boxing, or hockey? (3 marks)

Answer

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Tags: Conditional Probability, Probability, Probability Calculation, Survey Data
Level: Level 1

Topic: Probability
Series: MAY 2019

QT – May 2017 – L1 – Q6b – Probability

Determine the probabilities of specific outcomes when tossing three fair coins.

Question

If three fair coins are tossed:

Required:

i) Determine the probability of getting two heads and a tail.
(3.5 marks)

ii) Determine the probability of getting three tails.
(3 marks)

Answer

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Tags: Coin Toss, Conditional Probability, Probability
Level: Level 1

Topic: Probability
Series: MAY 2017

QT – May 2017 – L1 – Q6a – Probability

Calculate probabilities from a tree diagram based on people's chocolate preferences and eye color.

Question

Consider people’s preferences in terms of chocolate and their eye color, presented as a probability tree diagram below:

30% of people have brown eyes, 40% have green eyes, and the remaining have blue eyes.
70% prefer milk chocolate, 10% prefer white chocolate, and the remaining prefer plain chocolate.

Using the tree diagram above, calculate the probability that a person:

i) Prefers plain chocolate and has brown eyes.
(1.5 marks)

ii) Prefers milk chocolate and has brown eyes.
(1.5 marks)

iii) Prefers white chocolate and has brown eyes.
(1.5 marks)

iv) Prefers plain chocolate and has green eyes.
(1.5 marks)

v) Prefers milk chocolate and has green eyes.
(1.5 marks)

vi) Prefers white chocolate and has green eyes.
(1.5 marks)

vii) Prefers plain chocolate and has blue eyes.
(1.5 marks)

viii) Prefers milk chocolate and has blue eyes.
(1.5 marks)

ix) Prefers white chocolate and has blue eyes.
(1.5 marks)

Answer

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Tags: Conditional Probability, Probability, Tree Diagram
Level: Level 1

Topic: Probability
Series: MAY 2017

QT – Nov 2016 – L1 – Q1c – Probability

This question deals with calculating the conditional probability of earning more than GHC 5,000 given that an ICAG-qualified individual stays at a university.

Question

If selected by the panel, the probability that an ICAG-qualified member will remain with the Private University is 0.6, and the probability that a Chartered Accountant earns more than GHC 5,000 per month in the university is 0.5. If the probability that Mr. Agbagba will remain with the university or earn more than GHC 5,000 per month is 0.7:

Required:
Calculate the probability that he will earn more than GHC 5,000 per month given that he is a Chartered Accountant who will stay with the university.

Answer

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Tags: Conditional Probability, Probability of Earning, Probability of Staying
Level: Level 1

Topic: Probability
Series: NOV 2016

QT – Nov 2016 – L1 – Q1b – Probability

This part focuses on calculating the probability of an ICAG-qualified individual and their spouse being selected for a position.

Question

Mr. Agbagba, an ICAG qualified member, and his wife, an ICAEW qualified member, attended an interview for two vacancies for the post of College Finance Officer at a Private University. The probability of the interview panel selecting the man is 1/7, and that of the wife is 1/5.

Required:
Assuming the event of selecting a man and selecting a woman are independent, determine the probability that:
i) Both of them will be selected. (3 marks)
ii) Only one of them will be selected. (3 marks)
iii) None of them will be selected. (3 marks)

Answer

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Tags: Conditional Probability, Independent Events, Probability, Probability of Selection
Level: Level 1

Topic: Probability
Series: NOV 2016

QTB – May 2015 – L1 – SA – Q8 – Statistics

Determining the probability of receiving mutilated notes from a specific cashier using a tree diagram.

Question

The following tree diagram shows the scenario with two cashiers (A and B) at a bank where $M$ represents mutilated notes and $N$ represents new notes.

If a customer received mutilated notes, what is the probability that she was paid by cashier A?

A. 0.54
B. 0.55
C. 0.56
D. 0.59
E. 0.61

Answer

Find Related Questions by Tags, levels, etc.

Tags: Conditional Probability, Probability, Tree Diagram
Level: Level 1

Topic: Statistics
Series: MAY 2015

QT – May 2016 – L1 – Q3 – Probability

Calculate the probabilities of various outcomes in a card drawing scenario, including conditional probability based on drawing a red card.

Question

a) If from a normal pack of 52 cards, consisting of four suites each of 13 cards, one card is randomly selected:

Required:

Calculate the probabilities of selecting the following:

i) An ace
ii) A club
iii) An ace or a club
iv) The ace of clubs
v) A picture card (i.e. a jack, queen or king)
vi) A red card
vii) A red king
viii) A red picture card

b) Given that a card selected is red, calculate the probability that it is a picture card.

Answer

Find Related Questions by Tags, levels, etc.

Tags: Card Shuffle, Conditional Probability, Mutually Exclusive Events, Probability
Level: Level 1

Topic: Probability
Series: MAY 2016

QT – May 2019 – L1 – Q6b – Probability

Calculate probabilities based on student survey data regarding their favorite sports.

Question

A survey of The Institute of Chartered Accountants (Ghana) students asked the question: “What is your favourite sport?” The results are summarized below:

Level	Football	Boxing	Hockey	Total
1	68	41	46	155
2	84	56	70	210
3	59	74	47	180
Total	211	171	163	545

Required: i) What is the probability of selecting a student whose favourite sport is boxing? (2 marks)

ii) What is the probability of selecting a Level 1 student? (2 marks)

iii) If the student selected is a Level 2 student, what is the probability that the student prefers hockey? (3 marks)

iv) If the student selected is a Level 2 student, what is the probability that the student prefers football or hockey? (3 marks)

v) If the student selected prefers football, what is the probability that the student is a Level 1 student? (3 marks)

vi) If the student selected is a Level 3 student, what is the probability that the student prefers football, boxing, or hockey? (3 marks)

Answer

Find Related Questions by Tags, levels, etc.

Tags: Conditional Probability, Probability, Probability Calculation, Survey Data
Level: Level 1

Topic: Probability
Series: MAY 2019

QT – May 2017 – L1 – Q6b – Probability

Determine the probabilities of specific outcomes when tossing three fair coins.

Question

If three fair coins are tossed:

Required:

i) Determine the probability of getting two heads and a tail.
(3.5 marks)

ii) Determine the probability of getting three tails.
(3 marks)

Answer

Find Related Questions by Tags, levels, etc.

Tags: Coin Toss, Conditional Probability, Probability
Level: Level 1

Topic: Probability
Series: MAY 2017

QT – May 2017 – L1 – Q6a – Probability

Calculate probabilities from a tree diagram based on people's chocolate preferences and eye color.

Question

Consider people’s preferences in terms of chocolate and their eye color, presented as a probability tree diagram below:

30% of people have brown eyes, 40% have green eyes, and the remaining have blue eyes.
70% prefer milk chocolate, 10% prefer white chocolate, and the remaining prefer plain chocolate.

Using the tree diagram above, calculate the probability that a person:

i) Prefers plain chocolate and has brown eyes.
(1.5 marks)

ii) Prefers milk chocolate and has brown eyes.
(1.5 marks)

iii) Prefers white chocolate and has brown eyes.
(1.5 marks)

iv) Prefers plain chocolate and has green eyes.
(1.5 marks)

v) Prefers milk chocolate and has green eyes.
(1.5 marks)

vi) Prefers white chocolate and has green eyes.
(1.5 marks)

vii) Prefers plain chocolate and has blue eyes.
(1.5 marks)

viii) Prefers milk chocolate and has blue eyes.
(1.5 marks)

ix) Prefers white chocolate and has blue eyes.
(1.5 marks)

Answer

Find Related Questions by Tags, levels, etc.

Tags: Conditional Probability, Probability, Tree Diagram
Level: Level 1

Topic: Probability
Series: MAY 2017

QT – Nov 2016 – L1 – Q1c – Probability

This question deals with calculating the conditional probability of earning more than GHC 5,000 given that an ICAG-qualified individual stays at a university.

Question

Required:
Calculate the probability that he will earn more than GHC 5,000 per month given that he is a Chartered Accountant who will stay with the university.

Answer

Find Related Questions by Tags, levels, etc.

Tags: Conditional Probability, Probability of Earning, Probability of Staying
Level: Level 1

Topic: Probability
Series: NOV 2016

QT – Nov 2016 – L1 – Q1b – Probability

This part focuses on calculating the probability of an ICAG-qualified individual and their spouse being selected for a position.

Question

Answer

Find Related Questions by Tags, levels, etc.

Tags: Conditional Probability, Independent Events, Probability, Probability of Selection
Level: Level 1

Topic: Probability
Series: NOV 2016

Question Tag: Conditional Probability

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QTB – May 2015 – L1 – SA – Q8 – Statistics

Determining the probability of receiving mutilated notes from a specific cashier using a tree diagram.

QT – May 2016 – L1 – Q3 – Probability

Calculate the probabilities of various outcomes in a card drawing scenario, including conditional probability based on drawing a red card.

QT – May 2019 – L1 – Q6b – Probability

Calculate probabilities based on student survey data regarding their favorite sports.

QT – May 2017 – L1 – Q6b – Probability

Determine the probabilities of specific outcomes when tossing three fair coins.

QT – May 2017 – L1 – Q6a – Probability

Calculate probabilities from a tree diagram based on people's chocolate preferences and eye color.

QT – Nov 2016 – L1 – Q1c – Probability

This question deals with calculating the conditional probability of earning more than GHC 5,000 given that an ICAG-qualified individual stays at a university.

QT – Nov 2016 – L1 – Q1b – Probability

This part focuses on calculating the probability of an ICAG-qualified individual and their spouse being selected for a position.

QTB – May 2015 – L1 – SA – Q8 – Statistics

Determining the probability of receiving mutilated notes from a specific cashier using a tree diagram.

QT – May 2016 – L1 – Q3 – Probability

Calculate the probabilities of various outcomes in a card drawing scenario, including conditional probability based on drawing a red card.

QT – May 2019 – L1 – Q6b – Probability

Calculate probabilities based on student survey data regarding their favorite sports.

QT – May 2017 – L1 – Q6b – Probability

Determine the probabilities of specific outcomes when tossing three fair coins.

QT – May 2017 – L1 – Q6a – Probability

Calculate probabilities from a tree diagram based on people's chocolate preferences and eye color.

QT – Nov 2016 – L1 – Q1c – Probability

This question deals with calculating the conditional probability of earning more than GHC 5,000 given that an ICAG-qualified individual stays at a university.

QT – Nov 2016 – L1 – Q1b – Probability

This part focuses on calculating the probability of an ICAG-qualified individual and their spouse being selected for a position.

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Question Tag: Conditional Probability

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QTB – May 2015 – L1 – SA – Q8 – Statistics

Determining the probability of receiving mutilated notes from a specific cashier using a tree diagram.

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QT – May 2016 – L1 – Q3 – Probability

Calculate the probabilities of various outcomes in a card drawing scenario, including conditional probability based on drawing a red card.

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QT – May 2019 – L1 – Q6b – Probability

Calculate probabilities based on student survey data regarding their favorite sports.

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QT – May 2017 – L1 – Q6b – Probability

Determine the probabilities of specific outcomes when tossing three fair coins.

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QT – May 2017 – L1 – Q6a – Probability

Calculate probabilities from a tree diagram based on people's chocolate preferences and eye color.

You're reporting an error for "QT – May 2017 – L1 – Q6a – Probability"

QT – Nov 2016 – L1 – Q1c – Probability

This question deals with calculating the conditional probability of earning more than GHC 5,000 given that an ICAG-qualified individual stays at a university.

You're reporting an error for "QT – Nov 2016 – L1 – Q1c – Probability"

QT – Nov 2016 – L1 – Q1b – Probability

This part focuses on calculating the probability of an ICAG-qualified individual and their spouse being selected for a position.

You're reporting an error for "QT – Nov 2016 – L1 – Q1b – Probability"

QTB – May 2015 – L1 – SA – Q8 – Statistics

Determining the probability of receiving mutilated notes from a specific cashier using a tree diagram.

You're reporting an error for "QTB – May 2015 – L1 – SA – Q8 – Statistics"

QT – May 2016 – L1 – Q3 – Probability

Calculate the probabilities of various outcomes in a card drawing scenario, including conditional probability based on drawing a red card.

You're reporting an error for "QT – May 2016 – L1 – Q3 – Probability"

QT – May 2019 – L1 – Q6b – Probability

Calculate probabilities based on student survey data regarding their favorite sports.

You're reporting an error for "QT – May 2019 – L1 – Q6b – Probability"

QT – May 2017 – L1 – Q6b – Probability

Determine the probabilities of specific outcomes when tossing three fair coins.

You're reporting an error for "QT – May 2017 – L1 – Q6b – Probability"

QT – May 2017 – L1 – Q6a – Probability

Calculate probabilities from a tree diagram based on people's chocolate preferences and eye color.

You're reporting an error for "QT – May 2017 – L1 – Q6a – Probability"

QT – Nov 2016 – L1 – Q1c – Probability

This question deals with calculating the conditional probability of earning more than GHC 5,000 given that an ICAG-qualified individual stays at a university.

You're reporting an error for "QT – Nov 2016 – L1 – Q1c – Probability"

QT – Nov 2016 – L1 – Q1b – Probability

This part focuses on calculating the probability of an ICAG-qualified individual and their spouse being selected for a position.

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