Question

Two dice are rolled together bearing numbers 4, 6, 7, 9, 11, 12. Find the probability that the product of numbers obtained is an odd number.

Answer 1

Total number of possible outcomes = 6 × 6 = 36

For a product to be odd, both the numbers should be odd.

Favourable outcomes are (7, 7) (7, 9) (7, 11) (9, 7) (9, 9) (9, 11) (11, 7) (11, 9) (11, 11)

no. of favourable outcomes = 9

P (product is odd) = `9/36  "or"  1/4`.