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Mathematics

A bag contains six identical black balls. A boy withdraws one ball from the bag without looking into it. What is the probability that he takes out :

(i) a white ball ?

(ii) a black ball ?

Probability

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Answer

(i) Total number of possible outcomes = 6 (six black balls)

Number of favourable outcomes (Getting a white ball) = 0

P(Getting a white ball) = Number of favourable outcomesTotal number of outcomes\dfrac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}

= 06\dfrac{0}{6}

= 0

Hence, the probability of getting a white ball is 0.

(ii) Total number of possible outcomes = 6 (six black balls)

Number of favourable outcomes (Getting a black ball) = 6

P(Getting a black ball) = Number of favourable outcomesTotal number of outcomes\dfrac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}

= 66\dfrac{6}{6}

= 1

Hence, the probability of getting a black ball is 1.

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