A bag contains 3 red and 4 black balls. If two balls are drawn at random without replacement, what is the probability that both are red? MCQ with Answer and Explanation

A bag contains 3 red and 4 black balls. If two balls are drawn at random without replacement, what is the probability that both are red?

A. 1/7

B. 2/7

C. 3/14

D. 9/49

Answer: Option A

P(Both Red) = (3/7) × (2/6) = 6/42 = 1/7.

This question belongs to: Accountancy and Statistics Statistics

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Question #1 Report Error

If the number of observations possessing A is 70, B is 60, and AB is 50, then the number possessing neither is 20. The data are:

A. Inconsistent

B. Complete association

C. Consistent

D. Independent

Correct Answer: Option C

Explanation:
Check all ultimate classes: (AB)=50, (Aβ)=70-50=20, (αB)=60-50=10, (αβ)=20. Sum=50+20+10+20=100, all non-negative. Consistent.

This question belongs to: Accountancy and Statistics Statistics

Question #2 Report Error

A card is drawn from a standard deck. Probability it is a king or a heart is:

A. 16/52

B. 17/52

C. 4/13

D. 1/4

Correct Answer: Option A

Explanation:
P(king ∪ heart) = P(king) + P(heart) - P(king of hearts) = 4/52 + 13/52 - 1/52 = 16/52.

This question belongs to: Accountancy and Statistics Statistics

Question #3 Report Error

The mid-value of a class interval is 25 and the class width is 10. The class limits (exclusive) are:

A. 15-25

B. 20-30

C. 25-35

D. 20-30 inclusive

Correct Answer: Option B

Explanation:
Lower limit = mid-value - width/2 = 25 - 5 = 20; upper limit = 25 + 5 = 30.

This question belongs to: Accountancy and Statistics Statistics