Review 12.1-12.6Name:______
AAT
Hour:______
1.Misty polls residents of her neighborhood about the
types of pets they have: cat, dog, other, or none. She
determines these facts:
Ownership of cats and dogs is mutually exclusive.
32% of homes have dogs.
54% of homes have a dog or a cat.
16% of homes have only a cat.
42% of homes have no pets.
22% of homes have pets that are not cats or dogs.
Draw a Venn diagram of these data. Label each region
with the probability of each outcome.
For questions 2-4, two 4 sided dice are rolled.
2.Give the sample space for the experiment.
3.Find the probability of…
a)rolling at least one 2
b)rolling a sum greater than 6
4.Using the definition of independent, are the events of getting a sum of 6 and getting a first die of 4 independent?
5.How many 7 number secret codes can be formed following the pattern odd, even, odd, even, odd, even, and odd, and no digit can be repeated?
6.Make up a story where the answer is six factorial.
7.All students in a school were surveyed regarding their preference for whipped cream
or ice cream to be served with chocolate cake. The results, tabulated by grade level,
are reported in the table.
a. Complete the table.
b. What is the probability that a randomly chosen 10th grader will prefer ice cream?
c. What is the probability that someone who prefers ice cream is a 9th grader?
d. What is the probability that a randomly chosen student will prefer whipped cream?
e.Are being in 10th grade and preferring ice cream independent?
8.To win the “Superjackpot” the contestant must accomplish three things. First they must flip three coins and get two heads, second, from a deck of cards, they must select anything but a seven or a spade, and third they must roll a sum of seven on two dice. What is the probability of winning?
9. Evaluate
10.Solve
11.How many ways can 3 students sit in a row of 7 desks?
12. Given the set {1, 2, 3, …,10}, one number is chosen at random. Are the events, “choosing a multiple of three” and “choosing an even number” mutually exclusive? Explain
13.How many elements are in the sample space of flipping five coins followed by tossing four 8-sided dice?
14.Suppose that you flip 4 coins, what is the probability that you will get one or more heads?
15.A family has 4 children. If the probability of having a boy and a girl is equal, find the probability of
a)having exactly 2 boys and 2 girls
b)all 4 girls
c)at least 3 boys
16. A pizza restaurant offers 10 toppings and 3 sizes of pizza. How many different pizzas are possible with 4 different toppings?
17. The student government has 50 students from which it must elect a president, vice president and treasurer. Explain why this problem requires you to use permutations and not combinations? In how many ways can the group elect these 3 positions?