Suppose there are 5 black, 10 white, and 15 red marbles in an urn. What is the probability that you pick exactly two of each color?

Science & Mathematics by Anonymous 2018-06-01 11:03:05

Social Science

5 answers

You reach in and randomly select six marbles without replacement.

Anonymous

There is a random possibility.
Anonymous

P(2 of same color) = 3![(5C2/30C2)(10C2/28C2)(15C2/26C2)] = 3![(10/405)(45/378)(105/325] = 0.0057 approximately
Anonymous

the ratio of marbles are 1,2 and 3. Total 6. Picking black is 1/6, picking white is 2/6=1/3 and for red 3/6=1/2. Now you just multiply You get 1/6*1/6*1/3*1/3*1/2*1/2=1/1296. The total number of marbles=30 The probability = 30/1296=0.023
Anonymous

5/30 * 4/29 + 10/30 * 9/29 + 15/30 * 14/29 = 32/87
Anonymous

(5/30)(4/29)(10/28)(9/27)(15/26)(14/25)*...