Calculate Expected Flips for Two Heads Coin Toss

Q: Calculate Expected Flips for Two Heads Coin Toss

This question evaluates understanding of basic probability concepts—specifically expected value for discrete stochastic processes and conditional probability—testing competency in probabilistic reasoning, independence assumptions, and manipulation of event probabilities.

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Question

Probability Questions (Technical Screen)

Context

You are answering two independent probability questions commonly asked in a data science phone screen.

Questions

You repeatedly flip a fair coin (P(Head) = 0.5) until you have observed a total of two Heads (not necessarily consecutive). What is the expected number of flips?
Given P(A) = 0.30, P(B) = 0.50, and P(A ∩ B) = 0.15, compute P(A | B).

Calculate Expected Flips for Two Heads Coin Toss

Probability Questions (Technical Screen)

Context

Questions

Solution

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