A bag contains 5 red, 4 blue, 3 green balls. Two balls are drawn without replacement. Probability that both are same color is: MCQ with Answer and Explanation

A bag contains 5 red, 4 blue, 3 green balls. Two balls are drawn without replacement. Probability that both are same color is:
A. 19/66
B. 20/66
C. 12/66
D. 15/66
Answer: Option A
Solution (By JKSSB Mock Tests)
Total ways C(12,2)=66. Favorable: C(5,2)+C(4,2)+C(3,2) = 10+6+3=19. Probability=19/66.

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Practice More Statistics Questions

Question #1
A researcher wants to study the spending habits of households. She divides the city into blocks and randomly selects a few blocks, then surveys every household within them. This is an example of:
A. Systematic sampling
B. Stratified sampling
C. Cluster sampling
D. Quota sampling

Correct Answer: Option C


Explanation:
Selecting entire groups (clusters) randomly and surveying all units within is cluster sampling. It differs from stratified sampling where samples are drawn from each stratum.

This question belongs to: Accountancy and Statistics Statistics
Question #2
A fair coin is tossed until a head appears. The probability that it takes exactly 3 tosses is:
A. 1/4
B. 1/8
C. 3/8
D. 1/2

Correct Answer: Option B


Explanation:
Sequence: T, T, H. Probability = (1/2)² * (1/2) = 1/8.

This question belongs to: Accountancy and Statistics Statistics
Question #3
Assertion (A): The median is a better measure of central tendency than the mean for ordinal data. Reason (R): The median is based on the rank order and is unaffected by the exact magnitude of differences. Choose the correct option:
A. A is false, R is true
B. Both A and R are true, but R is not the correct explanation of A
C. A is true, R is false
D. Both A and R are true, and R is the correct explanation of A

Correct Answer: Option D


Explanation:
For ordinal data, median uses rank, ignoring magnitude, thus it's appropriate. R explains why.

This question belongs to: Accountancy and Statistics Statistics