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Question
A ticket is drawn at random from a bag containing tickets numbered from 1 to 40. Find the probability that the selected ticket has a number which is a multiple of 5.
Solution
Let E be the event that the selected ticket has a number that is a multiple of 5.
Total number of outcomes = 40
The favourable outcomes of event E are 5, 10, 15, 20, 25, 30, 35 and 40.
Number of favourable outcomes of event E = 8
Probability that the selected ticket has a number that is a multiple of 5
`=P(E)`
`=text{Number of favourable outcomes}/text{Total number of outcomes}`
`=8/40`
`=1/5`
Thus, the probability that the selected ticket has a number that is a multiple of 5 is`1/5`.
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