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.

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#### 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`.

Concept: Simple Problems on Single Events

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