Question
If two events are independent, then
- (a) they must be mutually exclusive
- (b) the sum of their probabilities must be equal to 1
- (c) Both (a) and (b) are correct
- (d) None of the above is correct ✓ Correct
Probability — Class 12 Maths Solution
Step-by-step Solution
If two events A and B are independent, then we know that $P(A \cap B) = P(A) \cdot P(B),P(A) \ne 0,P(B) \ne 0$
Since, $A$ and $B$ have a common outcome.
Further, mutually exclusive events never have a common outcome.
In other words, two independent events having non-zero probabilities of occurrence cannot be mutually exclusive and conversely, i.e., two mutually exclusive events having non-zero probabilities of outcome cannot be independent.
NCERT & Exemplar solution for CBSE Class 12 Mathematics, Probability. Curated by Sachin Sharma. Free for all students.