Probability Ques 44
Two events $A$ and $B$ have probabilities $0.25$ and $0.50$ , respectively. The probability that both $A$ and $B$ occur simultaneously is $0.14$ . Then, the probability that neither $A$ nor $B$ occurs, is
(a) $0.39$
(b) $0.25$
(c) $0.11$
(d) None of these
Show Answer
Answer:
Correct Answer: 44.(a)
Solution:
Formula:
Set theoretical notation of probability and some important results:
- Given, $P(A)=0.25, P(B)=0.50, P(A \cap B)=0.14$
$ \therefore \quad P(A \cup B)=P(A)+P(B)-P(A \cap B) $
$ =0.25+0.50-0.14=0.61 $
Now, $P(\overline{A \cup B})=1-P(A \cup B)=1-0.61=0.39$
BETA
