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10 coins. 9 are fair and one is double-headed. (1). Randomly choose a coin, flip it, and put it back. What's the probability of getting 5 heads in 5 flips? (2). Now the coins will not be put back after each flip. What's the probability of getting 5 heads in 5 flips?

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Good evening ,

Answer:

(1) the probability of getting 5 heads in 5 flips = (9/10)⁵

(2) the probability of getting 5 heads in 5 flips = (9×8×7×6×5)÷(10×9×8×7×6) = 0,5.

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