Probability

If an area model is needed, draw one in your notebook or on a whiteboard: For the following question, if an area model is needed, please draw one in your notebook: The spinners above are each spun once. What is the probability of an odd number on the first spinner and a 3 on the second spinner?

If an area model is needed, draw one in your notebook or on a whiteboard: Your coach brings you snacks after sports practice. Everybody gets to pick one snack and one drink. The snack options are: a banana, pretzels, takis or oreos. The drink options are: gatorade or water. You can’t decide, so you make your decision randomly. What is the probability that you pick pretzels and gatorade?

A bag contains 6 pink cubes numbered 1 through 6, and 9 yellow cubes numbered 1 through 9. One cube is chosen at random. What is the probability that the cube is yellow or a 5?

For the following question, if an area model is needed, please draw one in your notebook: The spinners above are each spun once. What is the probability of an even number on the first spinner and a 4 on the second spinner?

In a certain population of birds, about 40 percent of the birds have a wingspan greater than 10 inches. Biologists studying the birds will create a simulation with random numbers to estimate the probability of finding 1 bird in a sample of 6 birds with a wingspan greater than 10 inches. Which of the following assignments of the digits 0 to 9 will model the population?

• Let the even digits represent birds with a wingspan greater than 10 inches and the odd digits represent birds with a wingspan less than or equal to 10 inches.

• Let the digits 0 and 1 represent birds with a wingspan greater than 10 inches and the remaining digits represent birds with a wingspan less than or equal to 10 inches.

• Let the digits from 0 to 2 represent birds with a wingspan greater than 10 inches and the remaining digits represent birds with a wingspan less than or equal to 10 inches.

• Let the digits from 0 to 3 represent birds with a wingspan greater than 10 inches and the remaining digits represent birds with a wingspan less than or equal to 10 inches.

• Let the digits from 0 to 4 represent birds with a wingspan greater than 10 inches and the remaining digits represent birds with a wingspan less than or equal to 10 inches.

If an area model is needed, draw one in your notebook or on a whiteboard: You're going shopping for a new wardrobe. You can choose one top and one shoe. The top options are: t-shirt, hoodie, blouse, jacket or coat. The shoe options are: heels, wedges, or sandals. You can’t decide, so you make your decision randomly. What is the probability you choose wedges and a hoodie?

Principal Wolf surveys North students about their favorite class to analyze student data, and gets the following results. 23% 9th graders, 27% 10th graders, 20% 11th graders, 30% 12th graders. 10% prefer math, 25% prefer science, 23% prefer English, 27% prefer social studies, 15% prefer an elective. What is the probability that a student chosen at random will be in 11th grade AND their favorite class will be elective?

• 35%

• 45.25%

• 6.75%

• 3%

A bag contains 5 pink cubes numbered 1 through 5, and 4 yellow cubes numbered 1 through 4. One cube is chosen at random. What is the probability that the cube is yellow or a 3?

What is the expected value of the spinner?

What is the expected value of the spinner?