1
TS EAMCET 2022 (Online) 19th July Evening Shift
MCQ (Single Correct Answer)
+1
-0

A bag contains 3 white and 6 red balls. Four balls are drawn at a time randomly. Then, the probability of getting at least two red balls is

A

$\frac{8}{27}$

B

$\frac{5}{14}$

C

$\frac{60}{63}$

D

$\frac{1}{2}$

2
TS EAMCET 2022 (Online) 19th July Evening Shift
MCQ (Single Correct Answer)
+1
-0

$A$ and $B$ are two independent events $P(A)=\frac{2}{5}, P(B)=\frac{1}{3}$.

Match the following :

$$
\text { List I }
$$
$$
\text { List II }
$$
(A) $\quad P(\bar{A} \cup B)$ I. $$
\frac{11}{15}
$$
(B) $P\left(\frac{A}{\bar{B}}\right)$ II. $$
\frac{3}{5}
$$
(C) $P(A \cup B)$ III. $$
\frac{2}{3}
$$
(D) $p\left(\frac{\bar{B}}{A}\right)$ IV. $$
\frac{2}{5}
$$
V. $$
\frac{1}{3}
$$

The correct match is

A
A B C D
I III IV II
B
A B C D
II IV V I
C
A B C D
II IV III V
D
A B C D
II IV III I
3
TS EAMCET 2022 (Online) 19th July Evening Shift
MCQ (Single Correct Answer)
+1
-0

Two players $A$ and $B$ are alternately throwing a coin and a die together. $A$ player who first throws head and 6 wins the game. If $A$ starts the game, then the probability that $B$ wins the game is

A

$\frac{12}{23}$

B

$\frac{11}{23}$

C

$\frac{5}{119}$

D

$\frac{12}{119}$

4
TS EAMCET 2022 (Online) 19th July Evening Shift
MCQ (Single Correct Answer)
+1
-0

If two dice are thrown and if $X$ denotes the sum of the numbers that show up on the faces of the dice, then the mean of the random variable $X$ is

A

$\frac{27}{4}$

B

$\frac{35}{6}$

C

$\frac{41}{3}$

D

7

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