1
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
$$\frac{7}{44}$$
2
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
$$\frac{2}{3}$$
3
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
4
AP EAPCET 2022 - 4th July Morning Shift
+1
-0

If 6 is the mean of a Poisson distribution, then $$P(X \geq 3)=$$

A
$$1-25 / e^6$$
B
$$e^{-6}-25$$
C
$$24-25 e^6$$
D
$$e^{-3}$$
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