Question

Games are an easy way to explore probabilities. In this module, we will use the game Monopoly to explore multiple object probabilities along with compound probabilities. The game Monopoly is played by rolling 2 dice. Using the counting principle, how many outcomes are there when rolling two dice? When we play games like this, even though we roll 2 dice, we look at the sum of those two dice to determine how far we move. You want to go to the Chance spot on the board on the first roll. Chance is the 7th spot on the board. Therefore, what is the probability you roll a 7?

1) 1/6
2) 1/12
3) 1/36
4) 1/18

Answer 1

When rolling two dice, there are 36 possible outcomes. The probability of rolling a 7 is 1/6.

Step-by-step explanation:

When rolling two dice, each die has six possible outcomes: 1, 2, 3, 4, 5, or 6. Using the counting principle, we can determine the total number of outcomes by multiplying the number of outcomes for each die. So, there are 6 possible outcomes for the first die and 6 possible outcomes for the second die, resulting in a total of 6 x 6 = 36 outcomes when rolling two dice.

In order to calculate the probability of rolling a 7, we need to determine how many outcomes result in a sum of 7. There are 6 ways to roll a 7: (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), and (6, 1). Since there are 36 total outcomes, the probability of rolling a 7 is 6/36, which simplifies to 1/6.

Therefore, the correct answer is 1) 1/6.