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Question

# Each of the students in a particular class writes down a letter of her choice on a piece of paper and folds the paper to put it into a bowl. All the chosen letters are shown below. Alex chooses a letter from the bowl randomly. What is the probability that Alex picks a paper with the first letter of his name written on it? After replacing the chosen paper with ‘A' in the bowl, he picks a letter again. What is the probability of picking the letter ‘S'?

A
117 and 417
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B
217 and 317
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C
317 and 217
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D
None of the above
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Solution

## The correct option is A 117 and 417∙ Total number of papers with letters in the bowl= 17 Number of papers with letter A= 1 Need to find: Probability of picking a paper with first letter of the name Alex, i.e., P (A) ∴P(A)=Number of papers with letter A in the bowlTotal number of papers in the bowl ⇒P(A)=117––––––––––––– ∙ As Alex replaces the paper with letter ‘A' in the bowl, the total number of papers still remains the same, which is 17. Number of papers with letter ‘S'= 4 ∴P(S)=Number of papers with letter S in the bowlTotal number of papers in the bowl ⇒P(S)=417––––––––––––

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