If a coin is flipped 10 times, what is the probability that it will show all heads or all tails?

Asked by maham237 @ 22/12/2020 in Mathematics viewed by 290 People

If a coin is flipped 10 times, what is the probability that it will show all heads or all tails? A 1/2 B 1/512 C 1/1022 D 1/1024 E 1/2048

Answered by maham237 @ 22/12/2020

The probability of multiple events happening is calculated by multiplying the probabilities of each event together. This is the case if each event is independent of the other events.

For a fair coin, the probability of tails is 1/ 2 or 0.5, so the probability of all tails in 10 tosess is (1/2)^10 = 1/1024 = 0.0009765625

Correct answer: D

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