Question

Urn a contains 3 red and 3 black balls, whereas urn b contains 4 red and 6 black balls. if a ball is randomly selected from each urn, what is the probability that the balls will be the same color?
a. 7/16
b. 9/10

Answer 1

$|\Omega|=6\cdot10=60\\ |A|=3\cdot4+3\cdot6=12+18=30\\\\ P(A)=\dfrac{30}{60}=\dfrac{1}{2}=50\%$