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A Box Contains 90 Discs Which Are Numbered from 1 to 90. If One Disc is Drawn at Random from the Box, Find the Probability that It Bears a Number Divisible by 5. - Mathematics

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प्रश्न

A box contains 90 discs which are numbered from 1 to 90. If one disc is drawn at random from the box, find the probability that it bears a number divisible by 5.

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उत्तर

Let E3 be the event of getting a number divisible by 5.

Discs bearing numbers divisible by 5 are 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85 and 90.

Number of discs bearing a number divisible by 5 = 18

∴ P(getting a number divisible by 5) = P(E3) =`("Number of outcomes favourable to"  E_3)/"Number of all possibles outcomes"`

`= 18/90 = 1/5`

Thus, the probability that the disc bears a number divisible by 5 is `1/5`.

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पाठ 15: Probability - Exercise 15A [पृष्ठ ६८८]

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आर एस अग्रवाल Mathematics [English] Class 10
पाठ 15 Probability
Exercise 15A | Q 28.3 | पृष्ठ ६८८
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