Probability and Conditional Probability

SAT Math· difficulty 4/5

A coin is flipped 3 times. What is the probability of getting at least one head?

  • A

    1/21/2

  • B

    3/83/8

  • C

    7/87/8

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  • D

    1/81/8

Explanation

P(at least one head)=1P(no heads)=1(1/2)3=11/8=7/8P(\text{at least one head}) = 1 - P(\text{no heads}) = 1 - (1/2)^3 = 1 - 1/8 = 7/8.

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