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A Box Contains 30 Tickets, Bearing Only One Number from 1 to 30 on Each. If One Ticket is Drawn at Random, Find the Probability of an Event that the Ticket Drawn Bears a Complete Square Number. - Algebra

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Question

A box contains 30 tickets, bearing only one number from 1 to 30 on each. If one ticket is drawn at random, find the probability of an event that the ticket drawn bears a complete square number.

Solution

Total number of tickets  = 30

Number of tickets bearing perfect square number = 1, 4, 9, 16, 25
= 5

Therefore, required probability = `\text { Number of tickets bearing perfect number}/text { Total number of tickets}`

`=5/30`

`=1/6`

Hence, the probability that the ticket drawn bears a perfect square number is`=1/6`. 

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Chapter 5: Probability - Problem Set 5 [Page 127]

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