SOLUTION: Urn A contains 5 red marbles and 3 white marbles Urn B contains 2 red marbles and 6 white marbles a. if a marble is drawn from each urn. What is the probability that they are bo

Algebra ->  Statistics  -> Binomial-probability -> SOLUTION: Urn A contains 5 red marbles and 3 white marbles Urn B contains 2 red marbles and 6 white marbles a. if a marble is drawn from each urn. What is the probability that they are bo      Log On


   



Question 1157976: Urn A contains 5 red marbles and 3 white marbles
Urn B contains 2 red marbles and 6 white marbles
a. if a marble is drawn from each urn. What is the probability that they are both of the same color?
b. if two marbles are drawn from each urn, what is the probability that all four marbles are of the same color?

Answer by VFBundy(438) About Me  (Show Source):
You can put this solution on YOUR website!
a. if a marble is drawn from each urn. What is the probability that they are both of the same color?

(5/8 * 2/8) + (3/8 * 6/8) = 10/64 + 18/64 = 28/64 = 7/16

b. if two marbles are drawn from each urn, what is the probability that all four marbles are of the same color?

(5/8 * 4/7 * 2/8 * 1/7) + (3/8 * 2/7 * 6/8 * 5/7) = 40/3136 + 180/3136 = 220/3136 = 55/784