Question

A bag contains 2 white balls and 3 black balls .A second bag contains 3 white balls and 2 black balss.Two balls are drawn at random after the other from the first bag and placed in the second bag.Calculate the probability that the 2 balls are both white.

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Answer 1

Bag 1 contains 5 balls, 2 white and 3 black.
Let s note
P= number of favorable cases/ number of possible cases
Number of favorable cases is 2 because you extract 2 balls.
Number of possible cases is 5 which is number of the balls in the bag.
P= 2/5 = 40%.