Probability
Mediummathematics
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
Incorrect! 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.
🔒 Solution Hidden from View
Submit your answer to unlock the detailed step-by-step solution.
More probability Practice Questions
EasyJEE_MAIN
The probability of an impossible event is
The probability of an impossible event is
View Solution→
EasyJEE_ADVANCED
For mutually exclusive events A and B, P(A ∪ B) equals
For mutually exclusive events A and B, P(A ∪ B) equals
View Solution→
EasyJEE_MAIN
The conditional probability P(A|B) is defined as
The conditional probability P(A|B) is defined as
View Solution→
MediumJEE_MAIN
The probability of getting a sum of 7 when two dice are rolled is
The probability of getting a sum of 7 when two dice are rolled is
View Solution→
EasyJEE_ADVANCED
The probability of getting a head when a fair coin is tossed is
The probability of getting a head when a fair coin is tossed is
View Solution→
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.