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Mathematics

A letter is chosen from the word 'PENCIL', what is the probability that the letter chosen is a consonant ?

Probability

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Answer

Total number of outcomes = 6

Number of favourable outcomes (Getting a consonant) = 4 (P, N, C, L)

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

= 46\dfrac{4}{6}

= 23\dfrac{2}{3}

Hence, the probability of getting a consonant is 23\dfrac{2}{3}.

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