Probability Test

Result

Probability Test - 12

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Weekly Quiz Competition

Question 1
4 / -1

4 boys and 2 girls occupy seats in a row at random. Then, the probability that the two girls occupy seats side by side is

A
1/2

B
1/4

C
1/3

D
1/6

Solution
Question 2
4 / -1

A fair coin is tossed 100 times the probability of getting tails an odd number of time is

A
1/2

B
1/4

C
0

D
1

Solution
Question 3
4 / -1

Out of 3n consecutive natural numbers, 3 natural numbers are chosen at random without replacement. The probability that the sum of the chosen numbers is divisible by 3, is

A

B

C

D
Question 4
4 / -1

From a group of 8 boys and 3 girls, a committee of 5 members to be formed. Find the probability that 2 particular girls are included in the committee.

A
4/11

B
2/11

C
6/11

D
8/11

Solution
Question 5
4 / -1

The probability that the three cards drawn from a pack of 52 cards, are all black, is

A
1/17

B
2/17

C
3/17

D
2/19

Solution
Question 6
4 / -1

A determinant of second order is made with the elements 0 and 1. What is the probability that the determinant is positive ?

A
7/12

B
11/12

C
3/16

D
15/16

Solution
Question 7
4 / -1

The probability of choosing randomly a number c from the set {l, 2, 3, ... , 9} such that the quadratic equation x² + 4x + c = 0 has real roots, is

A
1/9

B
2/9

C
3/9

D
4/9

Solution
Question 8
4 / -1

Let S be the sample space of the random experiment of throwing simultaneously two unbiased dice with. six faces (numbered 1 to 6) and E_k = {(a, b) ϵ S : ab = k} for k ≥ 1. If p_k = P(E_k) for k ≥ 1, then the correct among the following is

A
P₁ < P₃₀ < P₄ < P₆

B
P₃₆ < P₆ < P₂ < P₄

C
P₁ < P₁₁ < P₄ < P₆

D
P₃₆ < P₁₁ < P₆ < P₄
Question 9
4 / -1

Three letters, to each of which corresponds an envelope, are placed in the envelopes at random. The probability that all the letters are not placed in the right envelopes, is

A
1/6

B
5/6

C
1/3

D
2/3
Question 10
4 / -1

The odds against a certain event are 5 : 2 and the odds in favour of another independent event are 6 : 5. The probability that atleast one of the events will happen is

A
25/77

B
52/77

C
12/77

D
65/77