1
AP EAPCET 2022 - 4th July Morning Shift
+1
-0

In a lottery, containing 35 tickets, exactly 10 tickets bear a prize. If a ticket is drawn at random, then the probability of not getting a prize is

A
$$1 / 10$$
B
$$2 / 5$$
C
$$2 / 7$$
D
$$5 / 7$$
2
AP EAPCET 2022 - 4th July Morning Shift
+1
-0

A bag contains 7 green and 5 black balls. 3 balls are drawn at random one after the other. If the balls are not replaced, then the probability of all three balls being green is

A
$$\frac{343}{1720}$$
B
$$\frac{21}{36}$$
C
$$\frac{12}{35}$$
D
$$\frac{7}{44}$$
3
AP EAPCET 2022 - 4th July Morning Shift
+1
-0

If $$x$$ is chosen at random from the set $$\{1,2,3, 4\}$$ and $$y$$ is chosen at random from the set $$\{5,6,7\}$$, then the probability that $$x y$$ will be even is

A
$$\frac{5}{6}$$
B
$$\frac{1}{6}$$
C
$$\frac{1}{2}$$
D
$$\frac{2}{3}$$
4
AP EAPCET 2022 - 4th July Morning Shift
+1
-0

The discrete random variables $$X$$ and $$Y$$ are independent from one another and are defined as $$X \sim B(16,0.25)$$ and $$Y \sim P(2)$$. Then, the sum of the variance of $$X$$ and $$Y$$ is

A
4
B
5
C
6
D
2
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