There are two bags , one of which contains 3 black and 4 white balls while the other contains 4 black and 3 white balls . A die is cast if the face 1 or 3 turns up a ball is taken out from the first bags and if any other face turns up , a ball is taken from the second bag . the probability of choosing a black ball is

Answers (1)

Solutions :    Let C be the bag with 3 black and 4 white balls

                      and D  the bag with 4 black and 3 white balls .

                  Rightarrow       P(B)=P(C)P(fracBC)+P(D)P(fracBD)

                 Rightarrow       P(B)=frac26cdot frac37+frac46cdot frac47=frac1121.    

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