Exercise 6 Page 364

To find the number of times Monique will expect to roll a number that is greater than 4 among the 12 rolls, we will first find the probability of rolling such a number. When calculating probability, we are comparing the number of favorable outcomes to the number of possible outcomes. To calculate the probability of rolling a number greater than 4 we will use the Probability Formula. P=Favorable Outcomes/Possible Outcomes On every side of a six-sided number cube we have a different number from 1 to 6. Therefore, rolling a six-sided number cube has 6 possible outcomes — one per each side. Possible Outcomes:6 Note that the cube has 2 sides with a number greater than four, 5 and 6. Therefore, we have 2 favorable outcomes. Possible Outcomes:6 Favorable Outcomes:2 Now we have enough information to calculate P(rolling a number greater than4).

The probability of rolling a number greater than 4 is 13, which can also be written as 1:3. Next, we want to find the expected number of rolls among 12 rolls that result in a number greater than 4. Let's denote the expected number by r and use the proportional reasoning to write an equation for r. Note that we expect that the ratio of r to 12 will be equal to the found probability. r/12 = 1/3 Finally, let's solve the above equation.

Among the 12 rolls, she expects 4 of them to result in a number that is greater than 4.