Question

When two six-sided dice are rolled what is the probability that the product of their scores will be greater than six?

Answer 1

11/18.

Step by.step explanation:

There are 36 possible outcomes when 2 dice are rolled.

Outcomes for a product greater than six are:

2,4 2,5 2,6 3,3 3,4 3,5 3,6 4,2 4,3 4,4 4,5 4,6 5.2 ......5.6 , 6.2 .......6.6.

= 22 ways.

required Probability is 22/36 = 11/18 (answer).

Answer 2

Answer:
`\bold{(11)/(18)}`

Explanation:

Think of the products row by row:

11 12 13 14 15 16 - 0 products greater than 6

21 22 23 24 25 26 - 3 products greater than 6

31 32 33 34 35 36 - 4 products greater than 6

41 42 43 44 45 46 - 5 products greater than 6

51 52 53 54 55 56 - 5 products greater than 6

61 62 63 64 65 66 - 5 products greater than 6

`\frac{\text{number greater than 6}}{\text{total possible outcomes}}=(22)/(36)=(11)/(18)\ when\ reduced`