gt review on probability

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```					Name: ______________________                Date: ___________           Pd: _____

Review: Probability
1)   Luke is playing a game where he spun each of the spinners shown below once.

8    1
X
7             2                                       A
6            3
B
5    4
List the sample space for all the possible outcomes Luke can have.

2)   Tina has 3 quarters, 2 dime, and 1 nickel in her pocket. What are all the possible
ways for Tina to choose 3 coins at one time from her pocket?

3)   The Duggar family has 4 children, so far. Draw a tree diagram to show all the
possible combinations of boys and girls in the family.

4)   Mrs. Fields is baking cookies and brownies. She makes chocolate chip cookies,
oatmeal cookies, and peanut butter cookies. She has 2 types of brownies, fudge
brownies, and walnut brownies. If you got to choose a cookie and a brownie, what
5)    Hayley has 4 coins. Draw a tree diagram to show all the possible outcomes if
Hayley tosses all 4 coins at the same time?

Use the spinner to answer #6 – 11. Answer as a fraction in simplest form.
6)    What is the P(2)?

1    3
7)    What is the P(a number less than 5)?
5             6
5            3
8)    Which events have the same probability?
1    4
9)    What is the P(1)?

10)   What is the P(odd)?

11)   What is the P(even)?

12)   A coin is tossed 6 times. How many outcomes are there in the sample space?

13)   Pamela tosses two coins, and rolls a 6 sided number cube. List the sample space of
all the possible outcomes.

14)   Robert recorded the results to an experiment. The spinner landed on orange – 6
times, purple – 9 times, silver – 3 times, and magenta – 7 times. According to the
results, what would be the probability of spinning a purple, as a percentage?

2
15)   Four number cubes are rolled. What is the probability that each cube shows a 5?

Identify the following situations (#16 – 19) as independent, I, or dependent, D, events?
16)   You roll a number cube and if you get a 5, you roll it again.            ___________

17)   You toss a coin, then toss it again, and toss it again.                  ___________

18)   You pick a card, do not replace it, and draw another card.               ___________

19)   You draw a red marble, replace it, and draw a yellow marble.             ___________

20) You have 25 marbles in a bag. six are red, 5 are blue, 8 are green, and six are swirls.
On the first draw you get a swirl marble. If it is not replaced, find the probability of
the 2nd draw, that the second marble is blue?

21)   In a deck of 52 cards, 26 are red and 26 are black. Find the probability the first card
will be red and the second card is black.

22)   You and two friends are asked to pick a number between 1 and 10. What is the
probability that you and your friends have selected the same number?

23)   A bag contains 8 red marbles, 8 blue marbles and 9 green marbles. If you replace
the marbles after each draw, what is the probability of drawing a blue marble, then a
green marble?

3
Boy
Use the results to answer #24 – 30.
Boy
A six – sided die was rolled 50 times. The results are listed below.

Possible Outcome         Number of times rolled
Girl                          1                         8
Boy
2                         9
3                        10
4                         6
5                         8
Boy
6                         9
Girl
24)   What is the P(6)?
Girl
___________
25)   What is the P(a number less than 4)?

Boy    ___________
Boy Which event(s) have the same experimental probability as its theoretical probability?
26)

___________
Girl
Girl
27)   What is the P(NOT even)?

___________

Boy

Girl

Girl

4

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