23
MCQ (Single Correct Answer)
If $A$ and $B$ are mutually exclusive events, then
A
$P(A) \leq P(\bar{B})$
B
$P(A) \geq P(\bar{B})$
C
$P(A)< P(\bar{B})$
D
None of these
24
MCQ (Single Correct Answer)
If $P(A \cup B)=P(A \cap B)$ for any two events $A$ and $B$, then
A
$P(A)=P(B)$
B
$P(A)>P(B)$
C
$P(A)< P(B)$
D
None of these
25
MCQ (Single Correct Answer)
If 6 boys and 6 girls sit in a row at random, then the probability that all the girls sit together is
A
$\frac{1}{432}$
B
$\frac{12}{431}$
C
$\frac{1}{132}$
D
None of these
26
MCQ (Single Correct Answer)
If a single letter is selected at random from the word 'PROBABILITY', then the probability that it is a vowel is
A
$\frac{1}{3}$
B
$\frac{4}{11}$
C
$\frac{2}{11}$
D
$\frac{3}{11}$
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