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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
Is there an error in this question or solution?

#### 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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