Directions:
· Show all of your work for each problem in the space provided.
· Show all formulas used.
· Unless otherwise stated, round all final answers to the nearest tenth.
· Label all of your answers with the correct units.
· A calculator is allowed
The questions that I am about to complete are my own work. I have not researched solutions on the Internet, talked about the problems with other students or anyone else, or in any way sought an advantage. I will demonstrate academic honesty and integrity.
There are fewer than 100 marbles in the bag. What is the greatest number of marbles that could be in the bag? Explain how you found your answer.
The probability of drawing a blue marble is 0.6. What is the probability of drawing a red marble? Explain how you found your answer.
Five students from the 90 students in your class will be selected to answer a questionnaire about participating in school sports. How many groups of 5 students can be selected?
Eleven students are trying out for 5 different positons in the school band. In how many ways can the five positions be filled?
To complete a quiz, you must answer four questions from a list of 12 questions. In how many ways can you complete the quiz?
The buyer for a sporting goods store must decide which athletic shoes to stock for the upcoming selling season. A shoe from one manufacturer comes in 6 different colors and 4 different styles. The buyer decides that the store will stock the shoes in 4 different colors and 2 different styles. How many different possible shoe designs will be stocked?
If you toss a fair coin six times, what is the probability of getting 3 heads and 3 tails?
If a single die is rolled twice, find the probability of a prime number the first time and a multiple of three the second time.
If you draw a card from a standard deck of cards and then replace the card back in the deck, what is the probability that you get a king the first time and a heart the second time?
A group of students consists of 10 male 7th graders, 15 female 7th graders, 20 male 8th graders, and 5 female 8thgraders. If one person is randomly selected from the group, find the probability of selecting a 7th grader or a female?