Multiple Flips Probability Scenario

MediumStatistics & Probability00:00

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Your question is Multiple Flips Probability Scenario. Take a moment with it on the right.

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Problem

Model a scenario with multiple flips as a probability problem and explain how you would solve it.

Assume a fair coin is flipped 5 times. You need to determine the probability of getting exactly 3 heads, and also the probability that the first 2 flips are heads given that there are exactly 3 heads in total.

Requirements

Compute the probability of exactly 3 heads in 5 flips.
Compute the conditional probability that the first 2 flips are heads given exactly 3 heads overall.
Show the counting logic and the probability logic.
State any assumptions used.

Assumptions

The coin is fair.
Each flip is independent.
Order matters for the conditional event, but not for the total count of heads.