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Sum of Probabilities of Favorable and Unfavorable Event

A bag contain...

Question

A bag contains x white, y red and z blue. A ball is drawn at the random, then the probability of drawing a blue ball is :

\frac{z}{x + y + z}

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\frac{y}{x + y + z}

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\frac{x}{x + y + z}

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Solution

The correct option is B $\frac{z}{x + y + z}$
A bag contains x white, y red and z blue.
A ball is drawn at the random, then the probability of drawing a blue ball is
$= \frac{number of blue balls}{total number of balls in abag}$ .

$∴ P (E) = \frac{z}{x + y + z}$

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