1
AP EAPCET 2024 - 18th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
The probabilities that a person goes to college by car is $\frac{1}{5}$, by bus is $\frac{2}{5}$ and by train is $\frac{3}{5}$, respectively. The probabilities that he reaches the college late if he takes car, bus and train are $\frac{2}{7}, \frac{4}{7}$ and $\frac{1}{7}$, respectively, If he reaches the college on time, then probability that he travelled by car is
A
$\frac{6}{29}$
B
$\frac{24}{29}$.
C
$\frac{5}{29}$
D
$\frac{23}{29}$
2
AP EAPCET 2024 - 18th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
$P, Q$ and $R$ try to hit the same target one after the other. If their probabilities of hitting the target are $\frac{2}{3}, \frac{3}{5}, \frac{5}{7}$ respectively, then the probability that the target is his by $P$ or $Q$ but not by $R$ is
A
$\frac{26}{105}$
B
$\frac{79}{105}$
C
0
D
$\frac{75}{105}$
3
AP EAPCET 2024 - 18th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
A box contains $20 \%$ defective bulbs. Five bulbs are chosen randomly from this box. Then, the probability that exactly 3 of the chosen bulbs are defective, is
A
$\frac{32}{6 \%}$
B
$\frac{32}{125}$
C
$\frac{16}{625}$
D
$\frac{16}{125}$
4
AP EAPCET 2024 - 18th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
If a random variable $X$ satisfies poisson distribution with a mean value of 5 , then probability that $X<3$ is
A
$\frac{37}{2} e^5$
B
$6 e^5$
C
$6 e^{-5}$
D
$\frac{37}{2} e^{-5}$
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