1
TG EAPCET 2024 (Online) 9th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
Three similar urns $A, B, C$ contain 2 red and 3 white balls; 3 red and 2 white balls; 1 red and 4 white balls respectively. If a ball selected at random from one of the urns is found to be red, then the probability that it is drawn from urn $C$ is
A
$\frac{1}{6}$
B
$\frac{1}{3}$
C
$\frac{1}{2}$
D
$\frac{2}{9}$
2
TG EAPCET 2024 (Online) 9th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
If a random variable X has the following probability distribution, then the mean of $X$ is $$ \begin{array}{c|c|c|c|c} X=x_1 & 1 & 2 & 3 & 5 \\ \hline p\left(X=x_i\right) & 2 k^2 & k & k & k^2 \end{array} $$
A
$\frac{26}{9}$
B
$\frac{22}{9}$
C
$\frac{24}{9}$
D
$\frac{28}{9}$
3
TG EAPCET 2024 (Online) 9th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
A A fair coin is tossed a fixed number of times. If the probability of getting 5 heads is equal to the probability of getting 4 heads, then the probability of getting 6 heads is
A
$\frac{7}{64}$
B
$\frac{9}{32}$
C
$\frac{21}{128}$
D
$\frac{35}{256}$
4
TG EAPCET 2024 (Online) 9th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
When 2 dice are thrown, it is observed that the sum of the numbers appeared on the top faces of both the dice is a prime number. Then, the probability of having a multiple of 3 among the pair of numbers thus obtained is
A
$\frac{8}{15}$
B
$\frac{11}{36}$
C
$\frac{5}{9}$
D
$\frac{5}{12}$
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