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Question
One ticket is drawn at random from a bag containing tickets numbered 1 to 40. The probability that the selected ticket has a number, which is a multiple of 7, is
Options
`1/7`
`1/8`
`1/5`
`7/40`
Solution
Total number of tickets = 40.
Out of the given numbers, multiples of 7 are 7, 14, 21, 28 and 35.
Numbers of favourable outcomes = 5.
∴ P(getting a number which is a multiple of 7) = `("Number of favourable outcomes")/"Number of all possible outcomes"`
`= 5/40 = 1/8`
Thus, the probability that the selected ticket has a number, which is a multiple of 7, is `1/8`.
Hence, the correct answer is option `1/8`.
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