SOLUTION: One bag contains three balls of red color and four balls of black color and second bag contains two balls of red color and three of black color. If one bag is chosen a

Algebra ->  Probability-and-statistics -> SOLUTION: One bag contains three balls of red color and four balls of black color and second bag contains two balls of red color and three of black color. If one bag is chosen a      Log On


   



Question 1163311: One bag contains three balls of red color and four balls of black color and second bag contains two balls of red color and three of black color. If one bag is chosen at random and a ball is drawn, what is the the probability that it is red?
Answer by ikleyn(52858) About Me  (Show Source):
You can put this solution on YOUR website!
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The probability is
    P = (1/2)*P(1st bag; red) + (1/2)*P(2nd bag; red) = %281%2F2%29%2A%283%2F%283%2B4%29%29 + %281%2F2%29%2A%282%2F%282%2B3%29%29 = %281%2F2%29%2A%283%2F7%29 + %281%2F2%29%2A%282%2F5%29 = 


                                                      = 3%2F14 + 2%2F10 = 30%2F140 + 28%2F140 = 58%2F140 = 29%2F70.        ANSWER


All formulas in my post are SELF-EXPLANATORY.