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A Die is Rolled Twice. Find the Probability that 5 Will Come up Exactly One Time, - Mathematics

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प्रश्न

A die is rolled twice. Find the probability that 5 will come up exactly one time.

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उत्तर

Total number of outcomes = 36.

Cases where 5 comes up on exactly one time are (1, 5), (2, 5), (3, 5), (4, 5), (5, 1), (5, 2), (5, 3), (5, 4), (5, 6) and (6, 5).

Number of such cases = 10.

∴ P(5 will come up exactly one time) = `("Number of favourable outcomes")/"Number of all possible outcomes"`

`= 10/36 = 5/18`

Thus, the probability that 5 will come up exactly one time is `5/18`.

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पाठ 15: Probability - Exercise 15B [पृष्ठ ६९८]

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आर. एस. अग्रवाल Mathematics [English] Class 10
पाठ 15 Probability
Exercise 15B | Q 16.2 | पृष्ठ ६९८
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