Probability Aptitude Test Paper 2

Answer: A

Explanation:

In two throws a dice, n (S) = 6 * 6 = 36
Let E is the event of getting a sum of five.
E = (1, 4), (4, 1), (2, 3), (3, 2)
So, n (E) = 4
So, P (E) = = 4/36 or 1/9

Answer: D

Explanation:

In a simultaneous throw of the two dice, the sample space, S = 6 * 6 = 36
So, n (S) = 36

The event "E" = {(1, 2), (1, 4), (1, 6), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (3, 2), (3, 4),
(3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (5, 2), (5, 4), (5, 6), (6, 1),
(6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}
So, n (E) = 27

Apply formula:

Answer: A

Explanation:

Let sample space = S.
n (S) = number of ways to select 3 students ( 1 girl and 2 boys) out of 25 students
= ²⁵C₃

= 2300
n (E) = ¹⁰C₁ * ¹⁵C₂
=10 *

= 1050

Apply formula:

Answer: D

Explanation:

n (S)= 5 + 35
        = 40
n (E)= 5
So, the probability of getting a prize, P (E) =

Answer: C

Explanation:

Let S be the sample space.

E is the event of getting 2 kings out of 4.