# 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. - Mathematics

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 is1/5.

Concept: Simple Problems on Single Events
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