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Question
From 25 identical cards, numbered 1, 2, 3, 4, 5, ......, 24, 25; one card is drawn at random. Find the probability that the number on the card drawn is a multiple of 3 or 5.
Solution
There are 25 cards from which one card is drawn.
Total number of elementary events = n(S) = 25
From number 1 to 25, there are 12 numbers which are multiple of 3 or 5 i,e. {3, 5, 6, 9, 10, 12, 15, 18, 20, 21, 24, 25}
Favorable number of events = n(E) = 12
Probability of selecting a card with a multiple of 3 or 5 = `(n(E))/(n(S)) = 12/25`
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