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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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