# If you flip a coin 5 times, what is the probability of getting exactly 3 tails?

Oct 17, 2015

Use the binomial probability distribution.

#### Explanation:

Assuming a "fair" coin, there are ${2}^{5} = 32$ different arrangements of heads and tails after 5 flips.

Also, there are ""_5C_3= (5!)/(3!2!)=10 ways to get exactly 3 tails.

P(exactly 3 tails) $= \frac{10}{32} = \frac{5}{16}$

Hope that helped