SOLUTION: Two urns contain respectively 3 white, 7 red, 15 black balls and 10 white, 6 red, 9 black balls. One ball is drawn from each urn. What is the probability that both will be of same

Algebra ->  Probability-and-statistics -> SOLUTION: Two urns contain respectively 3 white, 7 red, 15 black balls and 10 white, 6 red, 9 black balls. One ball is drawn from each urn. What is the probability that both will be of same       Log On


   

Question 934885: Two urns contain respectively 3 white, 7 red, 15 black balls and 10 white, 6 red, 9 black balls. One ball is drawn from each urn. What is the probability that both will be of same colour?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Both white : .
P%5B1%5D=3%2F25
P%5B2%5D=10%2F25
P=%283%2F25%29%2810%2F25%29=6%2F125
.
.
Both red :
P%5B1%5D=7%2F25
P%5B2%5D=6%2F25
P=%287%2F25%29%286%2F25%29=42%2F625
.
.
Both black :
P%5B1%5D=15%2F25
P%5B2%5D=9%2F25
P=%2815%2F25%29%289%2F25%29=27%2F125
.
.
So then,
P=30%2F625%2B42%2F625%2B135%2F625
P=207%2F625