Question

James has a collection of favorite marbles. he has 7 cat's eye marbles, 15 aggies, 5 red devils, and 8 clearies. he chooses 3 marbles at random, one at a time, and then replaces them before choosing another one. what is the probability he will choose three aggies?

Answer 1

Answer: 27/343

Explanation:

The probability of choosing 1 aggie is
`(15)/(7+15+5+8)=(3)/(7)`.

Therefore, the desired probability is
`\left((3)/(7) \right)^(3)=\boxed{(27)/(343)}`