Probability 2 Question 11
11. $P(A \cup B)=P(A \cap B)$ if and only if the relation between $P(A)$ and $P(B)$ is… .
$(1985,2 M)$
True/False
Show Answer
Answer:
Correct Answer: 11. $\frac{11}{40}$
Solution:
- $P(A \cup B)=P(A)+P(B)-P(A \cap B)$
If $\quad P(A \cup B)=P(A \cap B)$,
then $P(A)$ and $P(B)$ are equals.
Since, $P(A \cup B)=P(A \cap B) \Rightarrow A$ and $B$ are equals sets
Thus, $P(A)$ and $P(B)$ is equal to $P(A \cap B)$.
