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Question
Choose the correct alternative answer for the following question.
There are 40 cards in a bag. Each bears a number from 1 to 40. One card is drawn at random. What is the probability that the card bears a number which is a multiple of 5 ?
Options
`1/5 `
`3/5 `
`4/5`
`1/3`
Solution
Sample Space (S) = {1, 2, ......, 40}
∴ n(S) = 40
Event A: a multiple of 5
A = {5, 10, 15, 20, 25, 30, 35, 40}
∴ n(A) = 8
`therefore P(A) = (n(A))/(n(S))`
`=8/40`
`=1/5`
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