A box contains 5 defective and 15 non-defective items. Two items are drawn. The probability that both are non-defective is: MCQ with Answer and Explanation

Question

A box contains 5 defective and 15 non-defective items. Two items are drawn. The probability that both are non-defective is:

A. 1 - (5/20)²

B. (15/20)²

C. 15/20 × 14/19 = 21/38

D. 21/38

Answer: Option C

Solution (By JKSSB Mock Tests)

P(both non-defective) = (15/20)×(14/19) = 210/380 = 21/38.

This question belongs to: Accountancy and Statistics Statistics

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Question #1

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The population of a country in 2020 was 100 million with a growth rate of 2% per year. Assuming exponential growth, the population in 2022 is approximately:

A. 102 million

B. 104.04 million

C. 108 million

D. 104 million

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Correct Answer: Option B

Explanation:
Using compound formula: 100 × (1.02)^2 = 104.04 million.

This question belongs to: Accountancy and Statistics Statistics

Question #2

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If there were 5000 live births in a year and the number of women aged 15-49 was 25,000, the GFR per 1000 women is:

A. 500

B. 5

C. 20

D. 200

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Correct Answer: Option D

Explanation:
GFR = (5000 / 25000) × 1000 = 0.2 × 1000 = 200 per 1000 women.

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Question #3

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Which of the following pairs of events are mutually exclusive?

A. Getting a head and a tail on a single coin toss

B. Getting a 3 and an odd number on a die

C. Getting an even number and a prime number on a die

D. Drawing a heart and a queen in one card draw

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Correct Answer: Option A

Explanation:
A single toss cannot result in both head and tail; they are mutually exclusive.

This question belongs to: Accountancy and Statistics Statistics

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