You toss a fair coin 5 times. What is the probability of at least one head? Round to the nearest ten-thousandth.
A) 0.9688
B) 0.7500
C) 0.5000
D) 0.0313

Question

Quizplus · Accepted Answer

The probability of getting at least one head in 5 tosses of a fair coin is easier to calculate by finding the probability of the opposite event (getting no heads at all, i.e., all tails) and subtracting it from 1. The probability of getting tails in a single toss is 0.5, so for 5 tosses, it's (0.5)^5 = 0.03125. Therefore, the probability of getting at least one head is 1 - 0.03125 = 0.96875, which rounds to 0.9688.

You Toss a Fair Coin 5 Times