Probability Question 15
Question: The probabilities of occurrence of two events are respectively 0.21 and 0.49. The probability that both occurs simultaneously is 0.16. Then the probability that none of the two occurs is
[MP PET 1998]
Options:
A) 0.30
B) 0.46
C) 0.14
D) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
$ P(A\cup B)=P(A)+P(B)-P(A\cap B) $
$ =0.21+0.49-0.16\Rightarrow P(A\cup B)=0.54 $
Probability of none of two occurs $ =1-P(A\cup B)=1-0.54=0.46. $
BETA
