19
MCQ (Single Correct Answer)
Three numbers are chosen from 1 to 20 . Find the probability that they are not consecutive
A
$\frac{186}{190}$
B
$\frac{187}{190}$
C
$\frac{188}{190}$
D
$\frac{18}{{ }^{20} C_3}$
20
MCQ (Single Correct Answer)
While shuffling a pack of 52 playing cards, 2 are accidentally dropped. Find the probability that the missing cards to be of different colours.
A
$\frac{29}{52}$
B
$\frac{1}{2}$
C
$\frac{26}{51}$
D
$\frac{27}{51}$
21
MCQ (Single Correct Answer)
If seven persons are to be seated in a row. Then, the probability that two particular persons sit next to each other is
A
$\frac{1}{3}$
B
$\frac{1}{6}$
C
$\frac{2}{7}$
D
$\frac{1}{2}$
22
MCQ (Single Correct Answer)
If without repetition of the numbers, four-digit numbers are formed with the numbers $0,2,3$ and 5 , then the probability of such a number divisible by 5 is
A
$\frac{1}{5}$
B
$\frac{4}{5}$
C
$\frac{1}{30}$
D
$\frac{5}{9}$
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