Download Unit 1 Review Part 1

Unit 1 Probability Review
Part One
NAME _______________
CLASS _______________
DATE _______________
1. A bag contains 4 red marbles, 16 yellow marbles, 5 purple marbles, 16 blue
marbles, and 10 green marbles. What is the probability of pulling out a red or a
green marble with replacement?
2. You roll a number cube numbered from 1 to 6. You then spin a spinner with 5
sections each with a different color. The spinner has the colors red, pink,
orange, green, and navy. P(2 and red)
3. If one letter is chosen at random from the word refuse, what is the
probability that the letter chosen is the letter "e"?
4. At the ice cream shop, there are 10 flavors and 3 cones to choose from. How
many possible outcomes are there?
5. Determine if this problem is an independent or dependent event. You have six
pennies, nine nickels and two dimes in a piggy bank. If you turn the bank upside
down and shake it until a coin comes out of the slot, what is the probability
that you will get out two pennies in a row?
6. You flip a coin and toss a 1-6 number cube. P(heads and 4)
7. A jar contains 11 purple, 15 pink, and 9 gray marbles. A marble is drawn at
random. P(pink).
8. You roll a number cube numbered from 1 to 6. You then spin a spinner with 6
sections each with a different color. The spinner has the colors violet, brown,
white, pink, yellow, and green. P(4 and not yellow)
9. A jar contains 25 purple, 17 brown, 23 red, and 16 violet marbles. A marble is
drawn at random. P(purple, violet, or brown)
10. A pair of shoes comes in 4 styles and 5 colors. How many different shoes are
there?
11. You order a drink and a dessert. Drink choices are tea, coffee, and water.
Dessert choices include a brownie, apple cobbler, ice cream, and chocolate
cake. Draw a tree diagram to show all the possible outcomes.
12. License plates in a certain state contain 2 letters followed by 3 digits. Assume
that all combinations are equally likely. Find the number of possible license
plates.
13. In the United States, 2/5 of all households own 2 or more televisions, and 1/3
of all households own at least one dvd player. What is the probability that a
household picked at random will have 2 or more televisions and at least one dvd
player?
14. There are 52 cards in a deck. What is the probability of drawing a four,
replacing it, and then drawing an ace?
15. If A and B are independent events such that P(A)=1/4 and P(B)=1/6, what is
the P(A,B)?
16. The reception is being catered. The caterers offer 2 appetizers, 2 salads, and
3 main courses for each eighth grade student to choose for dinner. If the
caterers would like 36 different combinations of dinners, how many desserts
should they offer?
17. Steve has two bags. Bag 1 contains 3 bandaids, 2 cotton balls, 4 toothpicks, and
2 combs. He also has a second bag containing 2 rubberbands and 1 brush. What
is the probability that Steve selects a bandaid from bag 1 and a rubberband
from bag 2?
18. Cobb County Schools needs 20 representatives for the Board of Education
Committee. Six members will come from the high schools, six will come from
the middle schools, and eight will come from the elementary schools. The
superintendent selects one of the members to be a spokesman for the whole
committee. What is the probability that he will choose a middle or high school
representative?
19. A password contains 4 digits. Each digit is a number between 0-9. What is the
probability that each digit will be a 2?
20. If A and B are independent events such that P(A)=1/4 and P(B)=1/3, what is
the P(A, B)?
21. A password consists of 3 letters and 2 numbers. The password is case
sensitive, which means upper-case and lower-case letters are different
characters. What is the probability of randomly being assigned the password
Fa7s6?
22. Write an example of a dependent event problem.
23. Write an example of a tree diagram problem with 24 outcomes.
24. Write an example of a simple probability problem.
25. Write an example of an independent event problem.
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8
9.
10.
11.
14/51
1/30
1/3
30
dependent
1/12
3/7
5/36
58/81
20
12.
13.
14.
15.
16.
17.
18.
19.
676,000
2/15
1/169
1/24
3 desserts
2/11
12/20 = 3/5
1/10,000
20.
21.
22.
23.
24.
25.
1/12
1/14,060,800
varies
varies
varies
varies