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?

Answer 1

The number of outcomes when rolling two dice is 36. The probability of rolling a 7 in Monopoly is 1/6 or approximately 0.167.

Step-by-step explanation:

To find the number of outcomes when rolling two dice, we can use the counting principle. Each die has 6 possible outcomes, so the total number of outcomes when rolling two dice is 6 * 6 = 36.

In Monopoly, we want to roll a 7 to land on the Chance spot. There are 6 possible combinations that result in a sum of 7: (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), and (6, 1). So the probability of rolling a 7 is 6/36, which simplifies to 1/6 or approximately 0.167.