Calculate conditional probabilities for coin tosses

Q: Calculate conditional probabilities for coin tosses

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Question

Probability with Two Fair Coin Tosses

You toss a fair coin twice. Let the coin be fair (P(H) = P(T) = 1/2) and the tosses independent.

(a) Compute P(second = H | first = T).

(b) Given that at least one of the two tosses is Heads, compute P(both = HH | at least one H). Use an explicit sample space or conditional probability formulas, and explain your reasoning.

Calculate conditional probabilities for coin tosses

Probability with Two Fair Coin Tosses

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