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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

Choose the correct option from the given alternatives: The probability of a shooter hitting a target is 3/4 How many minimum numbers of times must

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प्रश्न

Choose the correct option from the given alternatives:

The probability of a shooter hitting a target is `3/4` How many minimum numbers of times must he fire so that the probability of hitting the target at least once is more than 0·99?

पर्याय

  • 2

  • 3

  • 4

  • 5

MCQ
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उत्तर

4

Hint:

P(X ≥ 1) > 0.99

∴ 1 - P(X = 0) > 0.99

∴ P(X = 0) < 0.01 = `1/100`

∴ `"^nC_0 (3/4)^0 (1/4)^n < 1/100`

∴ `(1/4)^n < 1/100`

∴ n = 4

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पाठ 8: Binomial Distribution - Miscellaneous exercise 1 [पृष्ठ २५३]

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बालभारती Mathematics and Statistics 2 (Arts and Science) [English] Standard 12 Maharashtra State Board
पाठ 8 Binomial Distribution
Miscellaneous exercise 1 | Q 6 | पृष्ठ २५३

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