1
TG EAPCET 2024 (Online) 11th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
The numbers $2,3,5,7,11,13$ are written on six distinct paper chits. If 3 of them are chosen at random, then the probability that the sum of the numbers on the obtained chits is divisible by 3 , is
A
$\frac{7}{20}$
B
$\frac{6}{20}$
C
$\frac{5}{20}$
D
$\frac{1}{5}$
2
TG EAPCET 2024 (Online) 11th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
If two dice are rolled, then the probability of getting a multiple of 3 as the sum of the numbers appeared on the top faces of the dice, if it is known that their sum is an odd number, is
A
$\frac{1}{6}$
B
$\frac{11}{36}$
C
$\frac{1}{3}$
D
$\frac{7}{18}$
3
TG EAPCET 2024 (Online) 11th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

If a random variable $X$ has the following probability distribution, then its variance is

X = x 1 3 5 2
P(X = x) $3 K^2$ K $K^2$ 2K
A
$\frac{9}{4}$
B
$\frac{25}{8}$
C
$\frac{27}{16}$
D
$\frac{15}{16}$
4
TG EAPCET 2024 (Online) 11th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
The mean and variance of a binomial variate $X$ are $\frac{16}{5}$ and $\frac{48}{25}$ respectively. IfP $(X > 1)=1-K\left(\frac{3}{5}\right)^{7}$, then $5 K=$
A
19
B
3
C
2
D
11
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