Read all the parts of your assignment carefully and record your answers in the appropriate place. Clearly show how you arrived at your answers.
1. Deiter surveyed 24 students chosen at random. He asked each student, “Do you speak a second language? If yes, what second language do you speak?”
He entered the results in a frequency table.
Display the results of Deiter’s survey in a circle graph in the space provided. (You may construct the graph using a compass, protractor, and straightedge. Or, you may use a computer and a spreadsheet program.)
2. a. If the cards are shuffled and a card is chosen at random, what are the possible outcomes?
b. What is the probability of choosing a card labelled A from the cards?
c. What is the probability of choosing a card labelled L from the cards?
d. What is the probability of choosing a vowel from the cards?
4. a. If you twirl the spinners on both dials, what are the possible outcomes?
b. What is the probability of each spinner landing on 1?
c. What is the probability of the spinners landing on numbers with a sum of 4?
5. a. If you flip the coin and then choose a ball from the jar, what are the possible outcomes?
b. What is the probability of flipping “Heads” and choosing a 1?
c. What is the probability of flipping “Tails” and choosing a prime number?
6. Suzanne has 6 pairs of gloves—3 pairs of white gloves, 2 pairs of black gloves, and 1 pair of grey gloves. She places the left-hand gloves in one pile and the right-hand gloves in another pile. Without looking, she picks a glove from each pile. What is the probability of Suzanne picking two grey gloves?
Solve this problem using the Monte-Carlo method.
Note: Explain how you simulated this situation, give the data results, and use the relative frequency to calculate the probability of Suzanne picking two grey gloves.
7. A family has 4 children. What is the probability that all the children are girls?
Solve this problem using the Monte-Carlo method. Assume that there was an equal chance of a boy or a girl being born each time and that no multiple births occurred.
Note: Explain how you could simulate this situation, give the data results, and use the relative frequency to calculate the probability of the children all being girls.
8. Explain why each of the following questions on the questionnaire should be rewritten.
a. Question 5
b. Question 6
c. Question 7
