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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 6.
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 16 numbers which are multiple of 6 i.e. {6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96}
Favorable number of events = n(E) = 16
Probability of selecting a card with a multiple of 6
= `(n(E))/(n(S))`
= `16/100`
= `4/25`
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