Two dice are thrown simultaneously. What is the probability of getting

1.	Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is odd?1. 3/42. 1/43. 1/24. 1/6
Answer» Correct Answer - Option 2 : 1/4 Given: Two dice are thrown simultaneously Concept used: A dice has numbers from 1 to 6 i.e. {1, 2, 3, 4, 5, 6}. Formula used: Probability = (Total number of favourable outcome)/(Total number of outcome) Calculation: When two dice are thrown. Then, The number of total possible outcome = 6 × 6 = 36 (1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6) (2, 1), (2, 2),..............................., (2, 6) ............................................................ ............................................................ (6, 1), (6, 2), ................................(6, 6) To get the two numbers whose product is odd, both should be odd numbers. So favourable outcome are: (1,1), (1,3), (1,5), (3,1), (3,3), (3,5), (5,1), (5,3), (5,5) Total number of favourable outcome = 9 Probability = (Total number of favourable outcome)/(Total number of outcome) ⇒ Probability = 9/36 = 1/4 ∴ The probability of getting two numbers whose product is odd is 1/4.

Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is odd?1. 3/42. 1/43. 1/24. 1/6

Answer» Correct Answer - Option 2 : 1/4

Given:

Two dice are thrown simultaneously

Concept used:

A dice has numbers from 1 to 6 i.e. {1, 2, 3, 4, 5, 6}.

Formula used:

Probability = (Total number of favourable outcome)/(Total number of outcome)

Calculation:

When two dice are thrown.

Then, The number of total possible outcome = 6 × 6 = 36

(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)

(2, 1), (2, 2),..............................., (2, 6)

............................................................

(6, 1), (6, 2), ................................(6, 6)

To get the two numbers whose product is odd, both should be odd numbers.

So favourable outcome are:

(1,1), (1,3), (1,5), (3,1), (3,3), (3,5), (5,1), (5,3), (5,5)

Total number of favourable outcome = 9

Probability = (Total number of favourable outcome)/(Total number of outcome)

⇒ Probability = 9/36 = 1/4

∴ The probability of getting two numbers whose product is odd is 1/4.