1
AP EAPCET 2024 - 19th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
If 7 different balls are distributed among 4 different boxes, then the probability that the first box contains 3 balls is
A
$\frac{35}{128}\left(\frac{3}{4}\right)^3$
B
$\frac{35}{64}\left(\frac{3}{4}\right)^4$
C
$\frac{7}{8}\left(\frac{3}{4}\right)^7$
D
$\frac{5}{16}\left(\frac{3}{4}\right)^5$
2
AP EAPCET 2024 - 19th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
Out of first 5 consecutive natural numbers, if two different numbers $x$ and $y$ are chosen at random, then the probability that $x^4-y^4$ is divisible by 5 is
A
$\frac{2}{5}$
B
$\frac{4}{5}$
C
$\frac{3}{5}$
D
$\frac{1}{5}$
3
AP EAPCET 2024 - 19th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
A bag contains 2 white, 3 green and 5 red balls. If three balls are drawn one after the other without replacement, then the probability that the last ball drawn was red is
A
$\frac{2}{3}$
B
$\frac{3}{4}$
C
$\frac{5}{9}$
D
$\frac{1}{2}$
4
AP EAPCET 2024 - 19th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
There are 2 bags each containing 3 white and 5 black balls and 4 bags each containing 6 white and 4 black balls. If a ball drawn randomly from a bag is found to be black, then the probability that this ball is from the first set of bags is
A
$\frac{25}{57}$
B
$\frac{25}{41}$
C
$\frac{2}{5}$
D
$\frac{3}{5}$
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