Question

The sample space, S, for flipping a fair coin three times is shown

below.
S = {HHH, THH, HTH, HHT, TTH, THT, HTT, TTT)
What is the probability of obtaining heads at least once?
1) 3/8. 2) 7/8. 3) 1/8. 4) 1/2

Answer 1

The probability of obtaining heads at least once is 7/8.

Step-by-step explanation:

The sample space for flipping a fair coin three times is {HHH, THH, HTH, HHT, TTH, THT, HTT, TTT}.

To find the probability of obtaining heads at least once, we need to count the number of outcomes that have at least one H. There are 7 outcomes that have at least one H (HHH, THH, HTH, HHT, TTH, THT, HTT) out of a total of 8 outcomes in the sample space.

Therefore, the probability of obtaining heads at least once is 7/8.