1
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

$\frac{12}{119}$

2
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

3
TS EAMCET 2022 (Online) 19th July Evening Shift
MCQ (Single Correct Answer)
+1
-0

In a university campus, the probability that a person chosen at random is an engineering student is $\frac{1}{5}$. The probability of having atmost two engineering students in a sample of 8 people is

A

$45 \times \frac{4^6}{5^8}$

B

$17 \times \frac{4^7}{5^8}$

C

$27 \times \frac{4^6}{5^8}$

D

$19 \times \frac{4^7}{5^8}$

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

When two dice are thrown, the probability of getting an ordered pair $(x, y)$ such that $x^2+y^2 \leq 25$ where $x$ and $y$ are numbers that show up on the two dice, is

A

$\frac{4}{9}$

B

$\frac{25}{36}$

C

$\frac{7}{12}$

D

$\frac{5}{12}$

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