The probability of a seed germinating is 1/3. If three of the seeds are planted,what is the probability that

A.none will germinate
B.at least one will germinagerminate
C. Only one will germinate?

6 answers

It should be C. If there are three, and the probability is one third, that means that one out of every three will germinate.
For three seeds on will germinate
For six seeds two will germinate
For nine seeds three will germinate
For twelve seeds four will germinate , and so on for each multiple of three, whatever number that it is multiplied , that is how many seeds would germinate.
G = p(germinate) = 1/3 ... N = p(not germinate) = 2/3

this is a binomial probability ... (N + G)^3 = N^3 + 3 N^2 G + 3 N G^2 + G^3

A. the 1st term ... (1/3)^3

B. 1 - 1st term

C. 2nd term ... 3 * (1/3)^2 * (2/3)
I don't understand
I don't too
Don't get your evaluations
Probability of a seed germinating means the probability of one seed germinating
P(G)=1/3
P(not germinate)=1-1/3
=2/3
(a)P(none germinate)=2/3*2/3*2/3=8/27
(b)P(atleast one)
using a tree diagram
P(GGG or GGN or GNG or GNN or NGG or NGN or NNG)
(1/3*1/3*1/3) + (1/3*1/3*2/3) + (1/3*2/3*1/3) + (1/3*2/3*2/3) + (2/3*1/3*1/3) + (2/3*1/3*2/3) + (2/3*2/3*1/3)