Question

What is the probability of getting product of number greater than 25 when 2 dice are rolled?

(a) \(\frac{11}{36}\)

(b) \(\frac{1}{36}\)

(c) \(\frac{1}{12}\)

(d) \(\frac{3}{2}\)

The question was posed to me in exam.

I'm obligated to ask this question of Data Handling topic in portion Data Handling of Mathematics – Class 8

Answer 1

Correct option is (c) \(\frac{1}{12}\)

Best explanation: A die has 6 faces which are numbered 1, 2, 3, 4, 5 and 6. When 2 dice are rolled, the possible outcomes are:

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

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

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

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

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

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

The three combinations (5,6), (6,5) and (6,6) on multiplication have value greater than 25. Hence, the probability is \(\frac{1}{12}\).