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A Bag Contains 3 Red Balls and 5 Black Balls. a Ball is Drawn at Random from the Bag. What is the Probability that the Ball Drawn Is: Red

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Question

A bag contains 3 red balls and 5 black balls. A ball is drawn at random from the bag. What is the probability that the ball drawn is:

red 

 

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Solution

\[\text{ Number of red balls } = 3\]
\[\text{ Number of black balls } = 5\]
\[\text{ Total number of balls }= 3 + 5 = 8\]
\[\text{ Let A be the event of drawing a red ball } . \]
\[ \therefore P\left( A \right) = \frac{\text{ Number of favourable outcomes }}{\text{ Total number of outcomes }} = \frac{3}{8}\]

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