Probability
If there are two possible outcomes for an event, and both are equally likely, what is the probability of each?
50%
What are the odds if the probability is: 6/11
6/5
A particular car comes in 5 colors with the following options; 3 different stereos, 4 different interiors, and with or without a sunroof. How many different cars are possible?
120
A coin is flipped. Heads, you win $1. Tails, you lose $1. What is the expected value of this game?
$0
The scholarship committee is formed from 8 teachers. If there are 15 different teachers, how many different committees can be formed?
6435
What is the probability if the odds are: 7/8
7/15
If there are 17 books on a shelf and 3 are romance novels, what are the odds of selecting a romance novel from the shelf?
3/14
An employee ID number system consists of one letter followed by 3 digits. If the numbers cannot repeat, how many ID numbers are possible?
18720
Jane gets $6 if a die shows a 6 and loses $1 otherwise. What is her expectation?
$0.17
How many ways can 12 runners finish 1st, 2nd, and 3rd place?
1320
3/6 or 1/2
Each day a teacher calls on 5 students in your class of 30. What are the odds that you will be called on today?
1/5
A multiple-choice test has 4 questions with 3 choices for each question. How many different ways can the test be completed?
81
A marble is drawn from a jar that contains 8 red marbles, 4 white marbles, and 2 yellow marbles. If you receive $20 for a red marble, $30 for a white marble, and $40 for a yellow marble, what is the expected value for a yellow marble?
$5.71
How many ways can 5 books be chosen from a list of 20?
15504
What is the probability a randomly selected letter in the word METROPOLIS is an "O"?
2/10 or 1/5
A cooler has 8 cans of soda; 3 cokes, 3 sprites, and 2 root beers. If you reach into the cooler, what are the odds that you will pick a diet soda?
0/8
How many three-digit odd numbers can be made from the following: 5, 4, 6, and 8?
16
A roulette wheel has 40 slots. Two slots are 0 and 00 and the remaining slots are numbered 1-38. What is the expected value the ball lands in an odd-valued slot if you win $5 for an odd number, $4 for an even number, and $20 for the zeros?
$2.38
How many different ways can we elect a president, vice president, and secretary of a club with 27 members?
17550
A drawer contains an unorganized collection of 36 socks. 12 pairs are red, 2 pairs are white and 4 pairs are black. If one sock is drawn from the drawer, what is the probability that it is a red sock?
2/3
If every letter in the alphabet is placed into a bag, what are the odds that you will select a letter found in the word "HAPPY"?
4/26 or 2/13
A senate committee consists of 8 Democrats and 11 Republicans. How many ways can chair, vice-chair, and secretary be assigned if the chair must be Republican, vice-chair must be Democrat and secretary can be either?
1496
Tickets for a raffle cost $14. There were 834 tickets sold. One ticket will be randomly selected as the winner, and that person wins $1200 and also the person is given back the cost of the ticket. For someone who buys a ticket, what is the Expected Value (the mean of the distribution)?
-$12.53
10 workers are cleaning a large house. 6 are needed to clean windows, 2 to clean the carpets, and 2 to clean the rest of the house. How many distinguishable ways can these tasks be assigned to the 10 workers?
1260