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Question
There are 30 cards in a box, each bearing one of the numbers from 1 to 30. One card is drawn at random from the box. Find the probability of event that the card drawn shows a number which is a multiple of 5
Solution
Sample space,
S = {1, 2, 3,…, 30}
∴ n(S) = 30
Let A be the event that the card drawn shows a number which is a multiple of 5.
∴ A = {5, 10, 15, 20, 25, 30}
∴ n(A) = 6
∴ P(A) = `("n"("A"))/("n"("S"))`
∴ P(A) = `6/30`
∴ P(A) = `1/5`
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