Basic Probability
AND / OR
Conditional
Expected Value and Odds
Permutations and Combinations
100
Probability is always a number between __ and __
0, 1
100
if a six sided dice is rolled what is the probability of a 4 and an even number?
1/12 = .083
100
The probability it will rain is 80%, the probability I will rain and be cold is 65%. What is the probability it will be cold given it has rained?
.8125
100
What are the odds of rolling a number less than 6 on a dice?
5
100
Where do you find nPr in your calculator?
Math PRB
200
What is the formula for theoretical probability?
Desired outcome/ total
200
If a card is drawn from a standard deck of cards what is the probability of drawing a red card and a queen?
1/26 = .038
200
The probability it is pizza day is 75%. The probability it is pizza day and potato day is 25%. What is the probability it is potato day given it is pizza day?
.33
200
What are the odds of drawing a spade from a deck of cards?
13/39
200
what is 12!/4!
19958400
300
There are 8 balls in a bag, 2 basketballs, 3 base balls, 1 football, and 2 soccer balls. What is the probability of drawing a baseball?
3/8
300
A bag contains 3 red 2 blue 4 green and 1 yellow marble, what is the probability of drawing a green or a blue marble?
13/25 = .52
300
3 cards are drawn from a deck of cards without replacement. What is the probability you will draw a heart, a spade, and then a diamond?
169/10200 = .017
300
A bag has 2 red 3 green 4 blue and 1 yellow marble. If a red is worth 15 pts, green 10 pts, blue 5 , and yellow 20, what is the expected value of drawing a marble?
10
300
In a bag there are 7 erasers, 4 paperclips, 3 pens, 1 pencil, and 5 rubber bands. How many different ways can 6 objects be selected?
38760
400
What is the probability of drawing a red face card out of a standard deck of 52 cards?
6/52 = 3/8
400
A six sided dice is rolled what is the probability of a 2 or a number less than 5
13/18 = .722
400
The probability of liking pretzels is 92%. The probability of liking pretzels an chocolate is 80%. What is the probability of liking chocolate given you like pretzels?
.869
400
A bag has 5 $1bills 4 $5bills 3 $10bills 2 $20 bills and 1 $50 bill. What is the expected value of drawing a bill from the bag?
$9.66
400
15 runners are competing for 3 spots in a race. How many ways can they finish?
2730
500
In a bag there are blue, red, green, and yellow marbles. There are 2 red, 4 green, and 1 yellow. If the complement of blue marbles is 7/10, how many blue marbles are in the bag?
3
500
A card is drawn from a standard deck of cards, what is the probability of a six or a spade?
4/13 = .307
500
3 cards are drawn from a deck without replacement. What is the probability of drawing an 8 of spades, a club, and a black card?
1/425 = .002
500
In a game a team has a equal chance of winning, losing, or tie. Bets were placed on the game. I the team wins you get $50 if the team looses you loose $40 and if the teams tie you get nothing. What is the expected value of this bet?
$3.34
500
How many way can the letters in TWISTS be rearranged?
180