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.
