Combination
Permutation
Disjoint/Overlap
Ind./Dep.
Miscellaneous
100
Given 6 toppings, how many 3 topping pizzas are possible?
What is What is 20. (6x5x4/3!)
100
How many ways can 4 children line up?
What is Permutation: 24 (4!)
100
If A and B are disjoint events, then P(A or B) = ____?_____.
What is P(A) + P(B)
100
A bag contains 5 red apples and 3 green apples. What is the probability of picking two red apples without the first being replaced?
What is What is 5/14 (5/8 X 4/7)
100
Larry has a bag of M&Ms. The bag contains 7 red, 9 yellow, 3 green, and 1 blue. What is the probability of getting red?
What is 7/20
200
If there are 12 people in the class, how many groups of 5 can be made?
What is What is 792. (12x11x10x9x8/5!)
200
How many ways can a president and vice president be chosen from 8 candidates?
What is What is 56. (8x7)
200
If A and B are overlapping events, then P(A or B) = ___?___.
What is P(A) + P(B) - P(A and B)
200
Find the probability of tails on four consecutive coin tosses.
What is What is 1/16. (1/2 X 1/2 X 1/2 X 1/2)
200
What is the difference between combinations and permutations.
What is: with permutations order matters and for combinations it does not.
300
How many ways can Big Bird select 3 board games from the 8 Ernie has?
What is What is 56. (8x7x6/3!)
300
In how many ways can 11 soccer players be placed on the field?
What is 39,916,800 (11!)
300
P(A) = 27%. Find P(not A).
What is 73%.
300
A bag contains 6 green, 8 white, and 2 blue counters. Two counters are drawn at random. Find P(green, blue) if the first counter is replaced before drawing the second.
What is What is 3/64. (6/16 X 2/16)
300
P(A) = .12 Find P(not A).
What is .88
400
If I have 13 photos, how many arrangements can I make using 3 of them?
What is 286. (13x12x11/3!)
400
Without repeating a digit, how many ways can you make a 4 digit lock combination?
What is 5040. (10x9x8x7)
400
P(A) = 13/41. Find P(not A).
What is 28/41.
400
A bag contains 6 green, 8 white, and 2 blue counters. Two counters are drawn at random. Find P(2 green) if the first counter is NOT replaced before drawing the second.
What is What is 1/8. (6/16 X 5/15)
400
You randomly choose a piece of hard candy from a jar containing 5 peppermint, 10 butterscotch, and 7 cinnamon candies. You decide that you don’t want the piece that you chose, so you put it back and randomly choose another piece. Find the probability that you choose a cinnamon candy first and a butterscotch candy second.
What is 35/242
500
At Dairy Queen, you can get a cone with three scoops of ice cream. Your choices for ice cream are: vanilla, chocolate, strawberry, coffee, and rum raisin. How many different combinations are there?
What is 10 combinations.
500
Find the total number of outcomes for: rolling 3 number cubes
What is 216. (6x6x6)
500
Events A and B are overlapping. P(A) = 7/20, P(B) = 9/20, and P(A and B) = 3/20. Find P(A or B).
What is 13/20.
500
A bag contains 6 green, 8 white, and 2 blue counters. Two counters are drawn at random. Find P(green, yellow) if the first counter is replaced before drawing the second.
What is 0. (6/16 X 0/16)
500
You randomly choose a sock from a drawer of 8 black socks, 10 white socks, 12 blue socks, and 6 green socks. Then, without replacing the sock, you randomly choose a second sock. Find the probability that you choose 2 blue socks.
What is 11/105