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Question
Thirty identical cards are marked with numbers 1 to 30. If one card is drawn at random, find the probability that it is a multiple of 3 and 5.
Solution
There are 30 cards from which one card is drawn.
Total number of elementary events = n(S) = 30
From numbers 1 to 30, there are 2 numbers which are multiple of 3 and 5 i.e. {15, 30}
Favourable number of events = n(E) = 2
Probability of selecting a card with a multiple of 3 and 5 = `(n(E))/(n(S)) = 2/30 = 1/15`
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