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27
MCQ (Single Correct Answer)

If the probabilities for $A$ to fail in an examination is 0.2 and that for $B$ is 0.3 , then the probability that either $A$ or $B$ fails is

A
$>0.5$
B
0.5
C
$\leq 0.5$
D
0
28
MCQ (Single Correct Answer)

The probability that atleast one of the events $A$ and $B$ occurs is 0.6 . If A and $B$ occur simultaneously with probability 0.2 , then $P(\bar{A})+P(\bar{B})$ is equal to

A
0.4
B
0.8
C
1.2
D
1.6
29
MCQ (Single Correct Answer)

If $M$ and $N$ are any two events, the probability that atleast one of them occurs is

A
$P(M)+P(N)-2 P(M \cap N)$
B
$P(M)+P(N)-P(M \cap N)$
C
$P(M)+P(N)+P(M \cap N)$
D
$P(M)+P(N)+2 P(M \cap N)$
30

The probability that a person visiting a zoo will see the giraffee is 0.72 , the probability that he will see the bears is 0.84 and the probability that he will see both is 0.52 .

A
TRUE
B
FALSE
31

The probability that a student will pass his examination is 0.73 , the probability of the student getting a compartment is 0.13 and the probability that the student will either pass or get compartment is 0.96 .

A
TRUE
B
FALSE