Combinations
How many options are there if you roll a 6 sided die and flip a coin?
12
A bag contains 5 blue marbles, 6 red marbles, 2 yellow marbles, and 7 green marbles. Find P(red).
6/20
What operation do we use in dependent probability problems?
Multiplication
What is the probability of rolling an even number, a number larger than 5, and an odd number when rolling a dice 3 times?
1/2 x 1/6 x 1/2 = 1/24
How many combinations can be made with 5 shirts, 3 pants, 2 hats, and 2 shoes?
60 combinations
A pizza place sells 12 different toppings, 3 crust flavors, and 3 sizes of pizza. How many different pizzas can you make?
108
A bag contains 5 blue marbles, 6 red marbles, 2 yellow marbles, and 7 green marbles. Find P(not blue). Give your answer as a percent.
15/20 = 3/4
Find the probability of a coin landing on heads and a die rolling a 4.
1/2*1/6 = 1/12
In a standard deck of cards, what is the probability of pulling a diamond, replacing it, and pulling a 9? P(diamond/9 9)
1/52
256 outcomes
How many cheesecakes can you make with 3 fillings and 8 toppings?
24
In a standard deck of cards, what is the probability of pulling a diamond?
13/52 = 1/13
A box of candy has 20 jelly beans. There are 10 red jelly beans, 4 green jelly beans, 3 purple jelly beans, and 3 yellow jelly beans. You pull out a red jelly bean, eat it, and select another jelly bean. What’s the probability that you pulled a red jelly bean and then a second red jelly bean?
P(red, then red)
10/20*9/19 = 9/38
A bag contains 5 blue marbles, 6 red marbles, 2 yellow marbles, and 7 green marbles. Find P(blue/then a green) with replacement.
7/80
Jack is at the ice cream parlor. There are 5 kinds of ice cream to choose from. How many combinations are there if he wants a double dip, each a different flavor?
20 combinations
A car comes in 5 exterior colors, 2 interior colors, and 2 interior fabrics. How many car options are there?
20
Ms. Shockley has a class with 4 girls and 16 boys. All of their names are placed in a hat. What is the probability that a girl's name is chosen?
4/20 = 1/5
With a standard deck of cards, what is the probability of pulling a black card, putting it back, and then pulling a diamond?
26/52*13/52= 1/8
A class has 10 students in it, 4 boys and 6 girls. What is the probability that you will draw 3 boys names out of a hat. (without replacement)
P(3 boys)
1/30
Mike is taking Math, PE, English, and Science before lunch. How many different schedules are possible? (you only take each class once)
4 x 3 x 2 x 1 = 24 combinations
The new iPhone comes in 5 colors, 2 sizes, and 3 capacities. How many different iPhones could you order?
30
A box of candy has 3 lemon flavored pieces, 4 cherry flavored pieces, and 3 grape flavored pieces. Find P(cherry)
4/10 = 2/5
A bag contains 5 blue marbles, 6 red marbles, 2 yellow marbles, and 7 green marbles. Without replacement, find the probability of pulling a green marble, a second green marble, and then a red marble.
7/20*6/19*6/18=7/190
Michelle shoots 80% free throws, what is the probability she will make 5 in a row?
1024/3125
Matt, Susan, Zach, and Bre are running in a school race. How many combinations for 1st -4th place?
4 x 3 x 2 x 1 = 24 combinations