you are playing a game with your friends, alex and jeff. the first player who rolls a total of seven using…

you are playing a game with your friends, alex and jeff. the first player who rolls a total of seven using two number cubes gets to start the game. explain how to find the probability that you will roll a total of seven on your first try.

you are playing a game with your friends, alex and jeff. the first player who rolls a total of seven using two number cubes gets to start the game. explain how to find the probability that you will roll a total of seven on your first try.

Answer

Explanation:

Step1: Find total outcomes

Each number - cube has 6 faces. When rolling two number - cubes, the total number of outcomes is (6\times6 = 36) by the multiplication principle.

Step2: Find favorable outcomes

The pairs of numbers on the two cubes that sum to 7 are ((1,6)), ((2,5)), ((3,4)), ((4,3)), ((5,2)), ((6,1)), so there are 6 favorable outcomes.

Step3: Calculate probability

The probability (P) of an event is given by the formula (P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}). So (P=\frac{6}{36}=\frac{1}{6}).

Answer:

The probability of rolling a total of 7 on the first try is (\frac{1}{6}).