SOLUTION: a urn contains 3 white balls and 7 red balls, two balls are drawn at random from the urn without replacement. what Is the probability that the balls will have the same color?

Algebra ->  Probability-and-statistics -> SOLUTION: a urn contains 3 white balls and 7 red balls, two balls are drawn at random from the urn without replacement. what Is the probability that the balls will have the same color?      Log On


   



Question 1129518: a urn contains 3 white balls and 7 red balls, two balls are drawn at random from the urn without replacement.
what Is the probability that the balls will have the same color?

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
Notice that 3 + 7 = 10.


The probability under the question is


    P = %283%2F10%29%2A%282%2F9%29+%2B+%287%2F10%29%2A%286%2F9%29 = 6%2F90+%2B+42%2F90 = 48%2F90 = 8%2F15.

The formula is self-explanatory.