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Mathematics

A bag contains 5 white, 2 red and 3 black balls. A ball is drawn at random. What is the probability that the ball drawn is a red ball?

Probability

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Answer

Total number of outcomes = 5 white + 2 red + 3 black balls = 10

Let A be the event of getting a red ball.

The number of favorable outcomes to the event A = 2

∴ P(A) = Number of favorable outcomesTotal number of outcomes=210=15\dfrac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \dfrac{2}{10} = \dfrac{1}{5}

Hence, the probability of drawing a red ball is 15\dfrac{1}{5}.

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