Question

solve problems involving compound ever about the solutions. 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.

Explanation:

Step1: Find total outcomes

When rolling two number - cubes, each cube has 6 faces. So the total number of possible outcomes is $6\times6 = 36$ since for each outcome of the first cube, there are 6 possible outcomes of the second cube.

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 that you will roll a total of seven on your first try is $\frac{1}{6}$.