5
QuizMultiple Choice

Binomial Probabilities

Question 5 • NC-Math 4

Claire flips a coin 6 times. What is the probability that the coin will show tails 3 times?

Answer
A
0.016
B
0.047
C
0.125
D
0.313

Explanation

For exactly 3 tails in 6 flips, choose which 3 of the 6 flips show tails: there are 20 ways. Each sequence of 6 coin flips has probability 1/64, so the probability is 20/64 = 0.3125, which rounds to 0.313. The correct choice is 0.313.

AI-written and checked against the verified answer.

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