A bag contains 3 red and 2 blue balls. Two balls are drawn at random without replacement. The probability that both are red is: MCQ with Answer and Explanation

A bag contains 3 red and 2 blue balls. Two balls are drawn at random without replacement. The probability that both are red is:
A. 3/5
B. 9/25
C. 1/2
D. 3/10
Answer: Option D
Solution (By JKSSB Mock Tests)
P(both red) = (3/5) × (2/4) = 6/20 = 3/10. Without replacement, the probability changes after the first draw, requiring multiplication of conditional probabilities.

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Practice More Statistics Questions

Question #1
Cost of Living Index is primarily used for:
A. Calculating GDP
B. Calculating trade balance
C. Measuring industrial production
D. Adjusting dearness allowance

Correct Answer: Option D


Explanation:
It is used to adjust salaries and wages to maintain purchasing power.

This question belongs to: Accountancy and Statistics Statistics
Question #2
For two attributes A and B, if (A)=80, (B)=70, N=100, and they are independent, then (AB) should be:
A. 50
B. 56
C. 70
D. 80

Correct Answer: Option B


Explanation:
Expected (AB) = (80×70)/100 = 56.

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Question #3
A study records literacy (A) and employment (B) in a population of 1000. Given (A)=600, (B)=700, (AB)=450. The coefficient of association suggests:
A. Perfect positive association
B. Negative association
C. Positive association
D. No association (independence)

Correct Answer: Option C


Explanation:
Expected (AB) under independence = (600×700)/1000 = 420. Observed (AB)=450 > 420, indicating positive association. Yule's Q = [(450×150) - (150×250)] / [(450×150) + (150×250)] = (67500-37500)/(67500+37500)=30000/105000≈0.286, confirming positive but not perfect association.

This question belongs to: Accountancy and Statistics Statistics