Counting 1
Counting 2
Probability
Probability Trees
Conditional Probability
100
In how many ways can two officers; a president and a vice-president, be selected from a club with 27 members?
What is 702
100
In how many ways can 7 students from a class of 30 be chosen for a field trip?
What is 2,035,800
100
A card is drawn from a standard 52-card deck. Find the probability of a 5.
What is .0769
100
Jar A contains 2 white and 3 red discs and Jar B contains 3 white and 1 red disk. A jar is chosen at random (by the flip of a coin) and one disc is taken at random from it. Determine the probability that the disc is red.
What is .425
100
If two fair dice are rolled, what is the conditional probability that the first one lands on 6 given that the sum of the dice is 5?
What is 0
200
In how many different ways can a crew of six astronauts be selected from a pool of 13?
What is 1716
200
A hockey team has 20 players of which twelve play forward, six play defense, and two are goalies. In how many ways can the coach pick a starting lineup consisting of 3 forwards, two defense players, and one goalie?
What is 6600
200
A red die and a green die have been rolled. What is the probability of getting a sum of 7 or 11?
What is .2222
200
The probability of it raining tonight is estimated to be 2/5. If it does rain, Parkland will have a probability ½ of winning. If it does not rain, Parkland has a 15/20 probability of winning. Display the sample space of possible results of the game on a tree diagram. Determine the probability that Parkland will win tonight.
What is .65
200
If two fair dice are rolled, what is the conditional probability that the first one lands on 6 given that the sum of the dice is 8?
What is .4
300
There are 8 men and 9 women on a committee. How many different 6-person subcommittees can be formed if a subcommittee must have an equal number of men and women?
What is 4704
300
In a certain state, license plates currently consist of two letters followed by three digits. How many such license plates are possible?
What is 676,000
300
You receive 5 cards from a deck of 52 cards. Find the probability of all spades.
What is .0005
300
Five tickets numbered 1, 2, 3, 4 and 5 are placed in a bag. Two are taken from the bag without replacement. Determine the probability of getting both odd.
What is .30
300
Three cards are randomly selected, without replacement, from an ordinary deck of 52 playing cards. Compute the conditional probability that the first card selected is a spade, given that the second and third cards are spades.
What is .2821
400
A committee of twelve-consisting of a chairman, a vice chairman, a secretary, and 9 other members- is to be chosen from a class of 40 students. In how many ways can this committee be chosen?
What is 7.37 * 10^12
400
Holly Springs is forming a committee that will consist of three representatives from the seven-member town council, two members of a five-person citizen’s advisory board, and three of the eleven police officers on the force. How many ways can the committee be formed?
What is 57,750
400
Poker dice is played by simultaneously rolling 5 dice. What is the probability of 5 alike?
What is .0008
400
If the school cafeteria serves meat loaf, there is a 70% chance that they will serve peas. If they do not serve meat loaf, there is a 30% chance that they will serve peas anyway. The students know that meat loaf will be served exactly once during the 5-day week, but they do not know which day. If tomorrow is Monday, what is the probability that they will serve peas?
What is .38
400
Suppose that 5% of men and .25% of women are colorblind. A colorblind person is chosen at random. What is the probability of this person being male? Assume that there are an equal number of males and females.
What is .9524
500
You have a 12 question multiple choice test. How many different keys are available for the test if there are 4 choices per question?
What is 16,777,216
500
The 12 students in the advanced communications design class at Center City Community College are submitting a project to a national competition. The must select a four member team to attend the competition. The team must have a leader and a main presenter the other two people have no specific role. In how many ways can the team be formed?
What is 5940
500
Two cards are randomly selected from an ordinary playing deck. What is the probability that they form a blackjack? That is, what is the probability that one of the cards is an ace and the other one is a ten, a jack, a queen, or a king?
What is .0483
500
A bag contains 5 red and 3 blue marbles. Two marbles are drawn simultaneously from the bag. Determine the probability that at least one is red.
What is .8929
500
A total of 48% of the women and 37% of the men that took a certain "quit smoking" class remained nonsmokers for at least a year after completing the class. These people then attended a success party at the end of a year. If 62% of the original class were male, what percentage of those attending the party were women?
What is 44%
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