Maharashtra State BoardHSC Arts 12th Board Exam
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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 - Mathematics and Statistics

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MCQ

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?

Options

  • 2

  • 3

  • 4

  • 5

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Solution

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

Concept: Binomial Distribution
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APPEARS IN

Balbharati Mathematics and Statistics 2 (Arts and Science) 12th Standard HSC Maharashtra State Board
Chapter 8 Binomial Distribution
Miscellaneous exercise 8 | Q 6 | Page 253
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