93
MCQ (Single Correct Answer)
If a box has 100 pens of which 10 are defective, then what is the probability that out of a sample of 5 pens drawn one by one with replacement atmost one is defective?
A
$\left(\frac{9}{10}\right)^5$
B
$\frac{1}{2}\left(\frac{9}{10}\right)^4$
C
$\frac{1}{2}\left(\frac{9}{10}\right)^4$
D
$\left(\frac{9}{10}\right)^5+\frac{1}{2}\left(\frac{9}{10}\right)^4$
94
If $P(A)>0$ and $P(B)>0$. Then, $A$ and $B$ can be both mutually exclusive and independent.
A
TRUE
B
FALSE
95
If $A$ and $B$ are independent events, then $A^{\prime}$ and $B^{\prime}$ are also independent.
A
TRUE
B
FALSE
96
If $A$ and $B$ are mutually exclusive events, then they will be independent also.
A
TRUE
B
FALSE
97
Two independent events are always mutually exclusive.
A
TRUE
B
FALSE