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Calculate Expected Flips for Two Heads Coin Toss
Probability Questions
This section presents two independent probability questions, typical for a data science technical screen.
Questions
- You are repeatedly flipping a fair coin (P(Head) = 0.5) until a total of two Heads have been observed (these do not need to be consecutive). What is the expected number of flips required?
- Given the following probabilities: P(A) = 0.30, P(B) = 0.50, and P(A ∩ B) = 0.15. Compute the conditional probability P(A | B).
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Core dilemma
Selecting and rigorously applying the appropriate probabilistic model or theorem, and clearly articulating the underlying assumptions and derivations for each problem.
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Calculate Expected Flips for Two Heads Coin Toss
Probability Questions
This section presents two independent probability questions, typical for a data science technical screen.
Questions
- You are repeatedly flipping a fair coin (P(Head) = 0.5) until a total of two Heads have been observed (these do not need to be consecutive). What is the expected number of flips required?
- Given the following probabilities: P(A) = 0.30, P(B) = 0.50, and P(A ∩ B) = 0.15. Compute the conditional probability P(A | B).