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?

Respuesta :

Answer: 27/343

Step-by-step explanation:

The probability of choosing 1 aggie is [tex]\frac{15}{7+15+5+8}=\frac{3}{7}[/tex].

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