Question

Suppose you roll a pair of six-sided dice and add their totals.(a) What is the probability that the sum of the numbers on your dice is 7 or 6?

Answer 1

Given:

To dice are rolled simultaneously.

Required:

Find the probability that the sum of the numbers on the dice is 7 or 6.

Step-by-step explanation:

If two dice rolled simultaneously then 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) = 36

The possible outcomes when the sum is 6 = (1, 5), (2,4), (3, 3), (4, 2), (5, 1) = 5

The possible outcomes when the sum is 7 = (1, 6), (2,5), (3,4), (4, 3), (5, 2), (6,1) = 6

The probability of an event is given by the formula:

`P=\frac{number\text{ of possible outcommes}}{Total\text{ number of outcomes}}`

The pr