How many bit strings of length two do not have two consecutive 1’s ?

• A) 2
• B) 3
• C) 1
• D) 4

If a box B contains four marbles numbered 1 through 4. Then the number of ways of drawing marbles from B firstly three marbles and then remaining one marble is

• A) 12
• B) 4
• C) 27
• D) 7

If A and B be events with P(A)=1/3, P(B)=1/4 and P(A intersection B)=1/6, then P(A | B)= ________ .

• A) 1/24
• B) 2/3
• C) 1/2
• D) 1/12

Number of distinct permutations that can be formed using the letters of the word “Bubble”are ……………….

• A) 720
• B) 80
• C) 120
• D) 216

What is the probability of getting a number greater than 5 when a dice is
tossed?

• A) 2/6
• B) 1/3
• C) 1/6
• D) 1/5

Let $n(A) = 108,\,\,\,n(B) = 72$, and $n(A \cap B) = 36$ ,then by principle of inclusion and exclusion $n(A \cup B) = .................$

• A) 104
• B) 208
• C) 144
• D) 180

Find the number of the word that can be formed of the letters of the word “ELEVEN”.

• A) 220
• B) 110
• C) 120
• D) None of these

C(n, k)= k! P(n, k) .

• A) True
• B) False
• C)
• D)

Which of the followings is the product set A * B * C ? where A = {a}, B = {b}, and C = {c, d}.

• A) {(c, b, a), (d, b, a)}
• B) {(a, c, b), (a, d, b)}
• C) {(a, b, c), (a, b, d)}
• D) {(b, c, a), (b, d, a)}

A Random variable is also called a

• A) Chance Variable
• B) Constant
• C)
• D)

Let $E({X^2}) = 6\,,\,\,{\mu ^2} = 2,$ then standard deviation is …………..

• A) -2
• B) 4
• C) 8
• D) 2

If A, B and C are any three events, then P( A U B U C) = ?

• A) P(A) + P(B) + P(C) + P(A and B) + P (A and C) + P(B and C) - P(A and B and C)
• B) P(A) + P(B) + P(C) + P(A and B) + P (A and C) + P(B and C) + P(A and B and C)
• C) P(A) + P(B) + P(C) - P(A and B) - P (A and C) - P(B and C)
• D) P(A) + P(B) + P(C) - P(A and B) - P (A and C) - P(B and C) + P(A and B and C)

A boy have 5 red and 7 blue balls, What is the probability that a ball chosen from the boy is red?

• A) none
• B) 5/7
• C) 5/12
• D) 7/12

What is the minimum number of students in a class to be sure that two of them are born in the same month ?

• A) 14
• B) 12
• C) 11
• D) 13

How many integers from 1 through 1002 are not multiples of 4 ?

• A) 250
• B) 334
• C) 501
• D) 752

P(A′∩B′) = ?

• A) P(A∪B)
• B) P(A\B)′
• C) P(A∪B)′
• D) P(AB)′

C(n,1)=……………..

• A) Cannot be determined
• B) 1
• C) 0
• D) n

Compute C(8 , 3)

• A) 65
• B) 46
• C) 56
• D) 36

The probability of a an event lies between 0 and 1.

• A) True
• B) False
• C)
• D)

How many integers from 1 through 1002 are multiples of 4 ?

• A) 250
• B) 250.5
• C) 249
• D) 251