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A bag contains 3 white, 5 black, and 2 red balls, all of the same shape and size.

A ball is drawn from the bag without looking into it, find the probability that the ball is drawn is:

a black ball.

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#### Solution

In a bag, 3 balls are white

2 balls are red

5 balls are black

Total number of balls = 3 + 2 + 5 = 10

Number of possible outcomes of one black ball = 10

and the number of favourable outcomes of one black ball = 5

∴ P(E) = `"Number of favourable outcomes"/"Number of all possible outcome"`

= `5/10 = 1/2`

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