Question

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Theoretical Probabilities of Repeated Events Quick Check
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A nickel, a penny, and a dime are placed inside a bag. One coin is randomly picked three times. If the coin is replaced after each draw, what is the probability that a dime is picked exactly twice?(1 point)

23


19


727

Answer 1

Probability of dime on one draw = 1/3. For exactly 2 dimes in 3 independent draws:

P = C(3,2) (1/3)^2 (2/3)^1 = 3 * (1/9) * (2/3) = 6/27 = 2/9 ≈ 0.222.