the probability of a seed germinating is 1/3.If three of the seeds are planted,what is the probability that:A.none germinates B.at least one will germinate C.only one will germinate.

2 answers

A. (1 - 1/3)^3

B. "at least one" means not none ... 1 - (A. result)

C. 3C1 * 1/3 * (2/3)^2
binomial probability

A=p(germinate)=1/3
B=or(not germinate)=3/3-1/3=2/3

We have
1 3 3 1
(A+B)³=A³+3A²B+3AB²+B³

(A)=(2/3)³=8/27

B=[1-A]=[27-8]/27=19/27

C=3AB²=3(1/3)(4/9)=4/9