If a seed is planted, it has a 65% chance of growing into a healthy plant.

If 11 seeds are planted, what is the probability that exactly 4 don't grow?

1 answer

this is a binary probability ... Grow or Not grow
... p(G) = .65 ... p(N) = .35

(G + N)^11 = 11C11 G^11 + 11C10 G^10 N + ... + 11C0 N^11

you want the 5th term ... 11C7 G^7 N^4 ... 11C7 * .65^7 * .35^4