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Exercises for Question Type 4: Finding expected occurrences using probable outcomes - IB | RevisionDojo

IB
Question Type 4: Finding expected occurrences using probable outcomes

Question Type 4: Finding expected occurrences using probable outcomes Exercises

Question 1

Two fair coins are tossed once each. What is the probability of no heads?

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Question 2

For $n$ independent fair coin tosses, derive the probability of getting exactly $k$ heads.

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Question 3

When two fair coins are tossed, calculate the probability of obtaining at least one head.

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Question 4

Three fair coins are tossed. Calculate the probability of at least one head.

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Question 5

Three fair coins are tossed. Find the probability that no two heads occur consecutively.

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Question 6

Find the probability of exactly one head when two fair coins are tossed.

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Question 7

Three fair coins are tossed. Find the probability that heads and tails alternate (no two identical outcomes adjacent).

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Question 8

Two fair coins are tossed. Given that at least one head appears, what is the probability that both are heads?

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Question 9

Two fair coins are tossed. Given exactly one head appears, what is the probability that the first toss is a head?

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Question 10

Three fair coins are tossed. Find the probability of exactly two tails.

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Question 11

Four fair coins are tossed. Find the probability of obtaining exactly two heads.

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Question 12

The question tests the application of probability rules, specifically for independent events involving coin tosses.

A fair coin is tossed four times. Find the probability that exactly one head appears in the first two tosses AND exactly one tail appears in the last two tosses.

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