SOLUTION: Two urns are labeled H and T . The urn labeled H has two red and three blue marbles. The urn labeled T has one red, two white, and one blue marble. A fair coin is flipped. I

Algebra ->  Probability-and-statistics -> SOLUTION: Two urns are labeled H and T . The urn labeled H has two red and three blue marbles. The urn labeled T has one red, two white, and one blue marble. A fair coin is flipped. I      Log On


   



Question 851278: Two urns are labeled H and T . The urn labeled H has two red and three blue marbles. The urn labeled T has one red, two white, and one blue marble. A fair coin is flipped. If the coin results in a head, two marbles are selected without replacement from the urn labeled H . Otherwise two marbles are selected without replacement from the urn labeled T .
What is the probability of two red marbles being selected
What is the probability of at least one red marble being selected

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
H 5 marbles: two red and three blue
T 4 marbles: one red, two white, and one blue
If the coin results in a head, two marbles are selected without replacement from the urn labeled H , otherwise...from T
P(2 red) = %281%2F2%29%282%2F5%29%281%2F4%29
P(at least one red) = 1 - P(no reds) = %281%2F2%29%283%2F5%29%282%2F5%29 + %281%2F2%29%28%282%2F4%29%281%2F4%29+%2B+%282%2F4%29%281%2F4%29%29