If a seed is planted, it has a 75% chance of growing into a healthy plant.

Question

If 8 seeds are planted, what is the probability that exactly 3 don't grow?

Answer 1

prob(grow) = 3/4
prob(not grow) = 1/4

prob(exactly 3 of 8 will grow)
= C(8,3) (1/4)^3 (3/4)^5
= 56(1/64)(243/1024) = 1701/8192 or appr .2076