SOLUTION: Consider a collection of envelopes consisting of 1 red​,2 blue​,3 green, and 2 yellow . If three envelopes are selected at​ random, without​ replacement, determine the prob

Algebra ->  Probability-and-statistics -> SOLUTION: Consider a collection of envelopes consisting of 1 red​,2 blue​,3 green, and 2 yellow . If three envelopes are selected at​ random, without​ replacement, determine the prob      Log On


   

Question 1187019: Consider a collection of envelopes consisting of 1 red​,2 blue​,3 green, and 2 yellow . If three envelopes are selected at​ random, without​ replacement, determine the probability that they are all green envelopes.
Answer by ikleyn(52879) About Me  (Show Source):
You can put this solution on YOUR website!
.
Consider a collection of envelopes consisting of 1 red​,2 blue​,3 green, and 2 yellow .
If three envelopes are selected at​ random, without​ replacement,
determine the probability that they are all green envelopes.
~~~~~~~~~~~~~


Total envelops = 1 + 2 + 3 + 2 = 8. 

    The probability under the problem question is  P = %283%2F8%29%2A%282%2F7%29%2A%281%2F6%29 = %283%2A2%2A1%29%2F%288%2A7%2A6%29 = 1%2F%288%2A7%29 = 1%2F56.    ANSWER.

The formula is SELF-EXPLANATORY.

Solved and explained.