A group of friends try out a new game that uses a pair of ordinary, fair dice. Points are given to players based on the sum of the two numbers from the rolled pair of dice. If the sum is between 2 and 5, inclusive, the amount of points awarded is the sum minus 1. If the sum is between 6 and 9, inclusive, the amount of points awarded is the sum minus 3. If the sum is between 10 and 12, inclusive, the amount of points awarded is the sum minus 5. Calculate the probability of earning exactly 5 points.

0.2222 = 22.22% probability of earning exactly 5 points.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Possible outcomes:

For the pair of dice:

(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)

So 36 total outcomes.

If the sum is between 6 and 9, inclusive, the amount of points awarded is the sum minus 3.

Sum of 8 -> 5 points awarded. So

(2,6), (3,5), (4,4), (5,3), (6,2): 5 outcomes.

If the sum is between 10 and 12, inclusive, the amount of points awarded is the sum minus 5.

Sum of 10 -> 5 points awarded. So

(4,6), (5,5), (6,4): 3 outcomes.

Desired outcomes:

5 + 3 = 8

Calculate the probability of earning exactly 5 points.

0.2222 = 22.22% probability of earning exactly 5 points.

answer: 1,380

step-by-step explanation:

1: you turn %15 into a decimal by moving the decimal point two places to the left.

2: and then you multiply .15 by 1,200 , which will get you 180.00

3: from there you will add 180 to 1,200

4: which will get you 1,380

hope it *im kind of slow so idk if my answer is right*