Conditional probability of A given B is defined as ……………….

• A) $P(A \cap B)$
• B) $\frac{{P(A \cap B)}}{{P(a)}}$
• C) $\frac{{P(A \cap B)}}{{P(B)}}$
• D) None of these

If two light bulbs are chosen at random from 5 bulbs of which 3 are defective, then which of the following is the probability that none is defective?

• A) 2/8
• B) 2/10
• C) 2/7
• D) 1/10

An event is a subset of?

• A) sample space
• B) Experiment
• C)
• D)

If X and Y are independent random variables and a and b are constants, then Var(aX+bY)is equal to

• A) (a+b)[Var(X)+ Var(Y)]
• B) a^2 Var(X)+ b^2 Var(Y)
• C) aVar(X)+ bVar(Y)
• D) Var(aX)+ Var(bY)

In how many ways can a set of six letters be selected from the English Alphabets?

• A) C(14 , 6)
• B) C(26 , 6)
• C) None of these
• D) C(6 , 26)

Let A and B be subsets of U with n(A) = 12, n(B) = 15, n(A')=17, and n(A intersection B) = 8, then n(U)=______ .

• A) 35
• B) 29
• C) 20
• D) 27

If the standard deviation of the data set is 4 then the value of the variance is ……………….

• A) 8
• B) 2
• C) 4
• D) 16

If a pair of dice is tossed how many outcomes the sample space of the experiment will have?

• A) 12
• B) 18
• C) 36
• D) 6

Let X = {1, 2, a, b}. Then 3-combinations of the 4 elements of the set X are _______ ?

• A) {1, 2, a}, {a, 2, 1},{b, 1, a} and {1, 2, b}
• B) {1, 2, a}, {1, 2, b}, {1, a, b} and {2, a, b}
• C) {1, 2, a}, {a, 2, 1}, {1, a, b}, and {b, a, 1}
• D) {1, b, a}, {a, b, 2},{b, 1, a} and {1, 2, b}

C(n,0)=……………..

• A) C(n,n)
• B) Both b and c
• C) n
• D) 1

Conditional probability of B given A is defined as ……………….

• A) None of these
• B) $P(A \cap B)$
• C) $\frac{{P(A \cap B)}}{{P(A)}}$
• D) $\frac{{P(A \cap B)}}{{P(B)}}$

When a dice and a coin are tossed together, then which of the following is the sample space?

• A) {1H, 2H, 3H, 4H, 5H, 6H, 1T, 2T, 3T, 4T, 5T, 6T}
• B) {H, T}
• C) {1, 2, 3, 4, 5, 6}
• D) {1H, 2H, 3H, 4T, 5T, 6T}

If A and B are disjoint finite sets then $$n(A \cup \,B) = \_\_\_\_\_\_.$$

• A) $$n(A) + n(B) - n(A \cap \,B)$$
• B) $$n(A) - n(B)$$
• C) $$n(A) + n(B)$$
• D) $$n(A) + n(B) + n(A \cap \,B)$$

A random variable is also called a Stochastic variable

• A) True
• B) False
• C)
• D)

Let X = {1, 2, 3}, then 2-combinations of the 3 elements of the set X are _______ ?

• A) {1, 2}, {2, 1}, {1, 3}, {3, 1}, {2, 3}, and {3, 2}
• B) {1, 2}, {2, 1},{1, 3} and {3, 1}
• C) {1, 2}, {2, 1}, {1, 3} and {2, 3}
• D) {1, 2}, {1, 3} and {2, 3}

If A is a subset of B then $$P(A|B) = \frac{{P(A)}}{{P(B)}}$$ .

• A) False
• B) True
• C)
• D)

Which of the followings is the probability of getting a 6 when a dice is tossed ?

• A) 1/6
• B) 0
• C) 1/3
• D) 1

------- is a procedure that yields a given set of possible outcomes?

• A) Experiment
• B) Sample space
• C) Event
• D) None

The number of the words that can be formed from the letters of the word,“COMMITTEE” are

• A) P(9, 9)
• B) ${9! \over 2!2!2!}$
• C) C(9, 9)
• D) ${9! \over 2!2!3!}$

Who gave the first definition of the probability as the number of successful outcomes divided by the number of total outcomes?

• A) Blaise Pascal
• B) none
• C) Laplace
• D) Leonhard Euler