Assuming the outcomes are all equally likely, what is the probability that you will get exactly three heads when you toss a coin five times?
A)0.60
B)0.31
C)0.30
D)0.50
E)none of these choices

Question

Quizplus · Accepted Answer

There are a total of $2^5$ possible outcomes when flipping a coin five times. To count the number of outcomes that result in exactly three heads, we can use the binomial coefficient $\binom{5}{3}$, which represents the number of ways to choose 3 out of 5 flips to be heads. Therefore, the probability of getting exactly three heads is $\frac{\binom{5}{3}}{2^5} = \frac{10}{32} \approx 0.31$. So, the best choice is (B).

Assuming the Outcomes Are All Equally Likely, What Is the Probability