A bag contains 5 white and 3 black balls. Two balls are drawn without replacement. The probability that they are of different colors is: MCQ with Answer and Explanation

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A bag contains 5 white and 3 black balls. Two balls are drawn without replacement. The probability that they are of different colors is:

A. 15/56

B. 15/28

C. 30/28

D. 30/56

Answer: Option B

Solution (By JKExamLibrary)

P(different) = P(white then black) + P(black then white) = (5/8)(3/7) + (3/8)(5/7) = 15/56 + 15/56 = 30/56 = 15/28. This accounts for both orders of drawing.

This question belongs to: Accountancy and Statistics Statistics

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Question #1 Report Error

For the above frequencies, Yule's coefficient of association Q is:

A. 0.714

B. 0.8

C. 0.33

D. 0.5

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Correct Answer: Option A

Explanation:
ad = 30×40 = 1200, bc = 20×10 = 200. Q = (1200-200)/(1200+200) = 1000/1400 = 0.714.

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Question #2 Report Error

The sum of frequencies of all classes in a distribution equals:

A. 100

B. Total number of observations

C. Mean

D. Number of classes

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Correct Answer: Option B

Explanation:
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Question #3 Report Error

If the cost of living index number is 250, it means that compared to base year, the cost of living has:

A. Increased by 150%

B. Become 2.5 times

C. Increased by 250%

D. Decreased by 150%

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Correct Answer: Option A

Explanation:
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