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Mathematics

A bag contains a certain number of red balls. A ball is drawn. Find the probability that the ball drawn is :

(i) black

(ii) red

Probability

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Answer

We have,

Let no. of red balls be x.

∴ No. of possible outcomes = x.

(i) Since, the bag only contains red balls.

Number of favourable outcomes for black balls = 0

P(drawing a black ball) = No. of favourable outcomesNo. of possible outcomes=0x\dfrac{\text{No. of favourable outcomes}}{\text{\text{No. of possible outcomes}}} = \dfrac{0}{x} = 0.

Hence, the probability of drawing a black ball = 0.

(ii) Number of favourable outcomes for red balls = number of red balls = x.

P(drawing a red ball) = No. of favourable outcomesNo. of possible outcomes=xx\dfrac{\text{No. of favourable outcomes}}{\text{\text{No. of possible outcomes}}} = \dfrac{x}{x} = 1.

Hence, the probability of drawing a red ball = 1.

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