Probability
If P(A) = 0.6 and P(B) = 0.3, and A and B are independent events, then P(A ∩ B) is
Select the correct option:
Solution
0.18
- Condition for Independence: Two events A and B are independent if the occurrence of one does not affect the probability of the other.
- Multiplication Rule: For independent events, P(A∩B)=P(A)×P(B).
- Substitution:
- P(A∩B)=(0.6)×(0.3)=0.18.
- Result: 0.18.
🔒 Solution Hidden from View
Submit your answer to unlock the detailed step-by-step solution.
More probability Practice Questions
From a committee containing seven men and five women, a subcommittee of three persons is selected at...
From a committee containing seven men and five women, a subcommittee of three persons is selected at...
An urn holds four red and six blue balls, and one ball drawn at the first stage is set aside without...
An urn holds four red and six blue balls, and one ball drawn at the first stage is set aside without...
Suppose events A and B satisfy P(A) = 1/2, P(B) = 1/3, and the conditional probability P(A given B) ...
Suppose events A and B satisfy P(A) = 1/2, P(B) = 1/3, and the conditional probability P(A given B) ...
Two friends agree to meet between five and six o'clock, each arriving at a uniformly random time and...
Two friends agree to meet between five and six o'clock, each arriving at a uniformly random time and...
Two players alternately roll a fair die starting with the first player, and whoever first rolls a si...
Two players alternately roll a fair die starting with the first player, and whoever first rolls a si...
Two fair dice are rolled together once, and the recorded sum of the two top faces turns out to be a ...
Two fair dice are rolled together once, and the recorded sum of the two top faces turns out to be a ...
About This Question
- Subject
- mathematics
- Chapter
- statistics and probability
- Topic
- probability
- Difficulty
- Medium
- Year
- 2025
Solution
Correct Answer:
0.18
- Condition for Independence: Two events A and B are independent if the occurrence of one does not affect the probability of the other.
- Multiplication Rule: For independent events, P(A∩B)=P(A)×P(B).
- Substitution:
- P(A∩B)=(0.6)×(0.3)=0.18.
- Result: 0.18.
This medium difficulty mathematics question is from the chapter statistics and probability, covering the topic of probability. It appeared in the 2025 exam.
Looking for more practice? Explore all mathematics questions or browse statistics and probability questions on RankGuru.