Question

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

Answer 1

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) `= 10/32=5/16`

Hope that helped