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Question

A bag contains 5 white and 7 red balls. One ball is drawn at random. What is the probability that ball drawn is white?

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Solution

Total no. of balls in the bag is 12 (7 red and 5 white)
No. of white balls in bag is 5.

Therefore, 5C1( Selecting 1 out of 5 items) times out of 12C1( Selecting 1 out of 12 items) a white ball is picked.

Let E be the event of drawing a white ball from the bag

We know that, Probability P(E) =(No.of favorable outcomes)(Total no.of possible outcomes)=5C112C1= 512

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