The probability that the penny shows heads, given that the nickel shows head is 1/2.
What is conditional probability?
Conditional probability can be explained as an event is happening, based on the result of a previous event.
Here, the probability of the penny will show head is P(A) = 1/2.
Similarly, the probability of the nickel will show head is P(B) = 1/2.
Now, the probability that the penny shows heads, given that the nickel shows head = P(A | B) = [P(A ∩ B)]/ P(B) = [1/2 × 1/2] / 1/2 = 1/2.
Learn more about the conditional probability here: https://brainly.com/question/8284622
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