Probability Quiz review #2
1) An instant lottery game gives you probability 0.02 of winning on any one play. Plays are
independent of each other. If you play 2 times, the probability that you win on none of your
plays is about.
2) You draw 1 card from a pack numbered 1-20. Find the following probabilities
a) Draw a 3 or a Multiple of 10 .
b) Draw an even number or a multiple of 3.
3) A bag consists of 4 different colored marbles. The probability of drawing each is as
follows:
P (Blue)= 0. 4
P (Red)= 0.2
P (Purple)= 0.3
P (Black)= 0.1
You draw a marble out of the bag and then replace it. What is the probability that you draw:
a. A red marble first and a blue marble second?
b. A black marble first and a purple marble second?
c. A red or blue marble?
4) You and your friend are shooting free throws. Player 1 and Player 2's probability of making
a free throw are 0.90 and 0.75 respectively.
a) What is the probability Player 1 and Player 2 make a free throw?
b) What is the probability both players miss a free throw?
c) What is probability either player makes a free throw?
State if each scenario involves a permutation or a combination. Then find the number
of possibilities.
5) Carl and Joe are planning trips to three countries this year. There are 7 countries they would like
to visit. One trip will be one week long, another two days, and the other two weeks.
6) A group of 25 people are going to run a race. The top 8 finishers advance to the finals.
7) There are 12 standbys who hope to get on your flight to Hawaii, but only 6 seats are available on
the plane. How many different ways can the 6 people are selected?
8) You are setting the combination on a three-digit lock. You want to use the numbers 123 but don't
care what order they are in.
9) Of the first 8 questions on a test, a student must answer 6. Of the next 7 questions, 4 must be
answered. In how many ways can this be done?