1
AP EAPCET 2022 - 5th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $$A$$ and $$B$$ are two events such that $$P(B) \neq 0$$ and $$P(B) \neq 1$$, then $$P(\bar{A} \mid \bar{B})$$ is

A
$$1-P(A \mid B)$$
B
$$1-{P}(\bar{A} \mid B)$$
C
$$\frac{1-P(A \cup B)}{P(\bar{B})}$$
D
$$\frac{P(\bar{A})}{P(\bar{B})}$$
2
AP EAPCET 2022 - 5th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

Two brothers $$X$$ and $$Y$$ appeared for an exam. Let $$A$$ be the event that $$X$$ has passed the exam and $$B$$ is the event that $$Y$$ has passed. The probability of $$A$$ is $$\frac{1}{7}$$ and of $$B$$ is $$\frac{2}{9}$$. Then, the probability that both of them pass the exam is

A
$$\frac{1}{63}$$
B
$$\frac{2}{35}$$
C
$$\frac{2}{63}$$
D
$$\frac{9}{14}$$
3
AP EAPCET 2022 - 5th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

A bag contains 4 red and 3 black balls. A second bag contains 2 red and 3 black balls. One bag is selected at random. If from the selected bag, one ball is drawn at random, then the probability that the ball drawn is red, is

A
$$\frac{39}{70}$$
B
$$\frac{41}{70}$$
C
$$\frac{29}{70}$$
D
$$\frac{17}{35}$$
4
AP EAPCET 2022 - 5th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

In a Binomial distribution, if '$$n$$' is the number of trials and the mean and variance are 4 and 3 respectively, then $$2^{32} p\left(X=\frac{n}{2}\right)=$$

A
$${ }^{16} C_8\left(3^8\right)$$
B
$${ }^{12} C_6\left(2^6\right)$$
C
$${ }^{32} C_{16}\left(3^{16}\right)$$
D
$${ }^{16} C_7\left(3^9\right)$$
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