Calculating Probability

Vince makes 75% of his free throw attempts. He wants to create a tool that will simulate his free throw shooting and allow him to predict the probability that he will make 6 of his next 7 free throw attempts.

Which spinner simulation uses an appropriate device and has the correct number of trials?

• a spinner divided into 2 congruent sectors, spun 6 times

• a spinner divided into 2 congruent sectors, spun 7 times

• a spinner divided into 4 congruent sectors, spun 6 times

• a spinner divided into 4 congruent sectors, spun 7 times

Five out of six residents of Mayville have library cards. Which tool will best allow Darren to simulate this scenario and predict whether a randomly chosen resident has a library card?

• a coin

• a 5-sector spinner

• a number cube

• a bag of 11 marbles

The 7 a.m. flight from Dallas to Chicago is on time 75% of the time. Fran created this spinner to simulate the scenario.

Fran spun the spinner three times to predict whether the flight will be on time or late next Monday, Tuesday, and Wednesday. How should she interpret this outcome of the three spins: shaded-shaded-unshaded?

• The flight will be late all three days.

• The flight will be on time all three days.

• The flight will be late on one of the three days.

• The flight will be on time on one of the three days.

Which situations can be simulated using this spinner? Select three options.

• Predicting the gender of a randomly chosen art teacher if 1 of 3 art teachers is female

• Predicting the gender of a randomly chosen history teacher if 12 of 15 history teachers are female

• Predicting the gender of a randomly chosen biology teacher if 8 of 12 biology teachers are female

• Predicting the gender of a randomly chosen chemistry teacher if 4 of 9 chemistry teachers are female

• Predicting the gender of a randomly chosen health teacher if 2 of 4 health teachers are female

The table shows all of the possible outcomes for rolling two six-sided number cubes. What is the probability of rolling a sum of 8?

A package contains 4 red, 2 green, 8 purple, and 6 blue jelly beans. What is the probability of choosing a purple jelly bean, eating it, and then choosing a blue jelly bean?

A local middle school adopted a policy for school uniforms. Students can wear black pants or tan pants. They can wear a yellow shirt, a red shirt, a green shirt, or a white shirt. The tree diagram shows the possible outfit choices. How many different choices does a student have when choosing a pair of pants and a shirt?

• 2

• 4

• 8

• 10

Selena is buying an audio system for her car. She can choose among 3 types of stereos, 4 kinds of speakers, and 2 kinds of amplifiers. Which describes how Selena can show her options?

• List the 3 types of stereos. Draw branches from each type and list the 4 speakers at the ends. Then, draw branches from each speaker type and list the 2 amplifiers at the ends.

• List the 3 types of stereos. Draw branches from each type and list the 4 speakers at the ends.

• List 1 stereo. Draw a branch from the stereo and list 1 speaker at the end. Then, draw a branch from the speaker and list 1 amplifier at the end.

• List the 3 types of stereos. Draw branches from each type and list the 4 speakers at the ends. Then, draw a branch from the speaker and list 1 amplifier at the end.

The Mendoza family is shopping for a new laptop computer. They will make their decision based on size and brand. The family made a table to show the possible outcomes for the different choices. There are 12 possible outcomes. Which is a possible number of sizes and brands from which the family could choose?

• 6 sizes and 6 brands

• 4 sizes and 3 brands

• 2 sizes and 12 brands

• 4 sizes and 8 brands

A restaurant is offering a dinner special that includes one starter and one entree. The choices are listed below.

Starter: breadsticks, soup, salad

Entree: beef, fish, chicken, shrimp, pork

How many possible dinner special combinations are there?

• 5

• 8

• 10

• 15