Urn 1 contains 7 red balls and 4 black balls. Urn 2 contains 3 red ball and 1 black ball. Urn 3 contains 5 red balls and 1 black balls. If an urn is selected at random and a ball is drawn, find the probability that it be red.

Respuesta :

Choice urn_1: 1/3
    choice R: 5/8        ==>1/3*5/8=5/24
Choice urn_2: 1/3
   Choice R: 3/4        ==> 1/3*3/4=1/4
Choice urn_3: 1/3
   Choice R:4/6=2/3  ==> 1/3*2/3=2/9

Total: 5/24+1/4+2/9=15/72+18/72+16/72=49/72

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