Probability Test

Result

Probability Test - 4

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Question 1
1 / -0

Two dice are thrown simultaneously. What is the probability of getting two numbers whose sum is odd?

A
1/2

B
17/36

C
1/4

D
19/36

Solution

S = Sample space
n(S) = 36

E = Event of getting two numbers whose sum is odd = {(1, 2), (1, 4), (1, 6), (2, 1), (2, 3), (2, 5), (3, 2), (3, 4), (3, 6), (4, 1), (4, 3), (4, 5), (5, 2), (5, 4), (5, 6), (6, 1), (6, 3), (6, 5)}.
n(E) = 18

P(E) = n(E)/n(S) = 18/36 = 1/2
Question 2
1 / -0

Two dice are rolled and it is found that the sum of the numbers appeared on them is an odd number. What is the probability that both the dice give odd numbers?

A
0

B
1/2

C
1/3

D
1/4

Solution

If the sum is an odd number, both the numbers cannot be odd. (odd + odd = even)
Question 3
1 / -0

A box contains 6 red, 7 green and 5 blue balls. Each ball is of a different size. The probability that the selected ball is the smallest red ball is

A
1/6

B
1/12

C
1/9

D
1/18

Solution

We need to select the smallest red ball, which will be only 1 red ball among the six red balls, as each ball is of a different size.

Now, total balls are 18 in number. So, the probability that the selected ball is the smallest red ball is 1/18.