Download CoreP1A Q1 POW 1

POW Review tutoring available on Mondays from 3:15 –
4:30 p.m. and Wednesdays during Colloquium Study
Mr. Anderson
Core-Plus Mathematics
Quarter 1 POW 1
Name: _________________________
Date: _____________________________
Period: ___________________________
POW 1: Probability
Due August 22
The acronym P.O.W. stands for Problems of the Week. This series of homework problems will
be a combination of different mathematical concepts that you have already explored in grade
school or which we will explore this year. You will be give a POW at the beginning of each
week and it will be collected at the beginning of the following week. We will discuss hints for
the POW during the week. When completing your POW please be sure to:
1. Read the directions carefully and answer the given question(s).
2. Complete your work in pencil.
3. Show all work for complete credit. Most weeks you will need to complete your
work on loose leaf notebook paper.
4. When doing your work on loose leaf notebook paper or when doing a multi-step
problem, be sure to circle your final solution.
5. Staple this sheet to the top of your work if there are multiple pages to turn in.
6. Write your answer (and only your answer) to each problem on this sheet of work if
there are multiple pages to turn in.
Solve the problems below using your knowledge of probability. Write
fractions in lowest terms.
1. What is the probability of not choosing an ace from a standard deck of playing cards?
2. a. What is the probability of choosing a red marble from a jar containing 5 red, 6 green and
4 blue marbles?
b. What is the probability of choosing a marble that is not green in problem 2?
3. What is the probability of getting an even number when rolling a single 6-sided die?
4. What is the probability of choosing a queen or a king from a standard deck of 52 playing
cards?
5. What is the probability of landing on an even number after spinning a spinner with 9 equal
sectors numbered 1 through 9?
6. What is the probability of getting a 0 after rolling a single die numbered 1 to 6?
7. What is the probability of choosing a picture card (jack, queen or king) from a standard deck
of playing cards?
8. What is the probability of choosing the letter a from the word mathematics?
9. Which of the following is the sample space for choosing a letter from the word LIBRARY?
Note that the sample space of an experiment is the set of all possible outcomes of that
experiment.
a. { I , A }
b. {L, I, B, R, A, R, Y }
c. {L, I, B, R, A, Y }
d. None of the Above
10. What is the probability of choosing a vowel from the alphabet?
11. Which of the following is an impossible event?
a. Choosing an odd number from 1 to 10
b. Getting an even number after rolling a single 6-sided die
c. Choosing a white marble from a jar of 25 green marbles
d. None of the Above
12. If a single 6-sided die is rolled, then which of the following events is neither certain nor
impossible?
a. Rolling a number less than 7
b. Rolling an even number
c. Rolling a zero
d. None of the Above
13. There are 4 parents, 3 students and 6 teachers in a room. If a person is selected at
random, what is the probability that it is a teacher or a student?
14. In a high school computer class there are 15 juniors and 10 seniors. Four juniors and five
seniors are boys. If a student is selected at random, then what is the probability of selecting a
junior or a boy?
15. A jar contains 5 red, 3 green, 2 purple and 4 yellow marbles. A marble is chosen at
random from the jar. After replacing it, a second marble is chosen. What is the probability of
choosing a purple and a red marble?
16. In the United States, 25% of people do NOT wear a seat belt while driving. If two people
are chosen at random, what is the probability that both of them wear a seat belt?
17. The weather forecast for Chicago tomorrow states that there is a 60% chance of rain. Also
tomorrow, Las Vegas oddsmakers have declared the Chicago Cubs chances of beating the San
Francisco Giants in San Francisco at 45%. What are the odds that it rains in Chicago and the
Cubs beat the Giants tomorrow?
18. When rolling 2 standard dice, what is the probability of rolling a 4? Please create a
possibilities tree on a separate page in order to show your work.
19. Three cards are chosen at random from a deck of cards without replacement. What is the
probability of choosing an eight, a seven, and a six, in order?
20. When pulling 2 cards out of a standard deck (without replacement), what are the odds
that both cards are spades?