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Question
Hundred identical cards are numbered from 1 to 100. The cards are well shuffled and then a card is drawn. Find the probability that the number on the card drawn is a multiple of 5.
Solution
There are 100 cards from which one card is drawn.
Total number of elementary events = n(S) = 100
From numbers 1 to 100, there are 20 numbers which are multiple of 5 i.e. {5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100}
Favorable number of events = n(E) = 20
Probability of selecting a card with a multiple of 5
= `(n(E))/(n(S))`
= `20/100`
= `1/5`
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