How many options are there if you roll a 6 sided die and flip a coin?
12
In this counting method, the order you select objects matters.
Permutation
A bag contains 5 blue marbles, 6 red marbles, 2 yellow marbles, and 7 green marbles. Find P(red). Give your answer as a percent.
6/20 = 30%
What operation do we use in AND problems?
Multiplication
What operation do we [mainly] use with OR probabilities?
Addition
Find the probability of rolling a 3 on a number cube, given that it's an odd number.
P(3 | odd)
P(3 | odd) = 1/3 = 33%
A pizza place sells 12 different toppings, 3 crust flavors, and 3 sizes of pizza. How many different pizzas can you make?
36
In this counting method, the order that you select objects does not matter.
Combination
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 = 75%
Find the probability of a coin landing on heads and a die rolling a 4.
1/2*1/6 = 8.3 or 8%
In a standard deck of cards, what is the probability of pulling a diamond or a 9? P(diamond or 9)
13 + 4 - 1 = 16/52 = 30.7 or 31%
Find the probability of drawing a diamond out of a deck cards, given that it's a red card.
P(diamond | red)
P(diamond | red) = 13/26 = 50%
How many cheesecakes can you make with 3 fillings and 8 toppings?
24
Calculate the number of ways 3 ice cream toppings can be selected from 12 options.
In a standard deck of cards, what is the probability of pulling a diamond?
13/52 = 25%
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 = 90/380 = 23.6 or 24%
A bag contains 5 blue marbles, 6 red marbles, 2 yellow marbles, and 7 green marbles. Find P(blue or green)
5 + 7 = 12/20 = 60%
Find the probability of pulling a 4 out of a deck cards, given that it's a black card.
P(4 | black)
P(4 | black) = 2/26 = 8%
A car comes in 5 exterior colors, 2 interior colors, and 2 interior fabrics. How many car options are there?
20
Calculate the number of ways that 1st, 2nd, and 3rd place can be chosen from 8 competitors.
nPr(8,3) = 336
4/20 = 20%
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=338/2704=12.5 or 13%
A class has 10 students in it. Four(4) have cats, 7 have dogs, and 3 have a cat and a dog. What is the probability that a student has a cat or a dog?
P(cat or dog)
4+7 - 3 = 8/10 = 80%
Use the table below to find the probability that a student did homework, given that they passed.
P(homework | passed)
P(homework | passed) = 41/69 = 59%
The new iPhone comes in 5 colors, 2 sizes, and 3 capacities. How many different iPhones could you order?
30
Identify these as permutations or combinations.
1. Selecting 3 pizza toppings from 8 options
2. Awarding a $5,000 scholarship and a $2,500 scholarship to 10 applicants
3. Choosing 2 students to run an errand from 15
1. C
2. P
3. C
A box of candy has 3 lemon flavored pieces, 4 cherry flavored pieces, and 3 grape flavored pieces. Find P(cherry)
4/10 = 40%
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=252/6840=3.6 or 4%
Of 1000 students, 180 have English and 240 have math. 100 have both English and math. What is the probability that a student is in English or math?
P (English or math)
180 + 240 - 100 = 320/1000 = 32%
Use the table below to find the probability that a student failed, given that they did homework.
P(failed | homework)
P(failed | homework) = 12/53 = 23%