Dice
Coins
Independent vs Dependent
Counting & Expected Value
Two Way Table
100
What is the probability of rolling a 6 on a 15 sided die?
The probability is 1/15 or 6.7%
100
Define the sample space of flipping two coins.
{HH, HT, TH, HT}
100
With phrases like "putting it back" or "replacing it", the probabilities of each experiment will be ____________.
Independent
100
How many outfits can you make with 5 shirts and 3 pairs of pants?
(5)(3) = 15 outfits
100
What is the probability of selecting someone who likes skateboards and snowmobiles?
The probability is 80/160 or 1/2 or 50%
200
What is the probability of rolling a 2 or a 5 on a 6 sided die?
The probability is 2/6 or 1/3 or 33.3%
200
When flipping two coins define the set: HH'
(the compliment of flipping heads twice)
HH' = {TH, HT, TT}
200
P(A) = 0.3 P(B) = 0.7 If A and B are independent, find P(A and B)
P(A and B) = 0.21
200
In a class of 20 students, 5 are chosen at random to be in a committee to promote school spirit. How many different groups could there be?
Order does not matter - Combination
20 nCr 5 = 15,504 different groups
200
What is the probability of selecting someone that likes snowmobiles or likes skateboards?
The probability is 150/160 = 15/16 = 93.75%
300
Using an 8 sided die:
Subset A = {1, 2, 3, 4, 5}
Subset B = {4, 5, 6, 7, 8}
Find A nn B as well as A uu B
A nn B = {4, 5}
A uu B = {1, 2, 3, 4, 5, 6, 7, 8}
300
What is the probability of flipping two coins and landing on heads and then heads again?
The probability is 1/4 or 25%
300
Tom has 4 notebooks in his backpack. If he randomly selects notebooks to take out and place on his desk until he chooses the correct one for class, what is the probability he chooses the correct notebook third?
Wrong *Wrong * Correct
3/4*2/3*1/2=1/4
300
In a deck of 52 cards, how many ways can you draw 7 cards?
Order doesn't matter - Combination
52 nCr 7 = 133,784,560
300
What is the probability of selecting someone that does not like skateboards out of the people who like snowmobiles?
The probability is 25/105 or 5/21 or 23.8%
400
What is the probability of rolling a 2 and then a number higher than 4 when rolling two 6 sided dice?
The probability is 2/36 or 1/18 or 5.6%
400
What is the probability of flipping three coins and each one landing on heads?
The probability is 1/8 or 12.5%
400
Using a standard deck of cards, what is the probability of drawing two face cards in a row without replacement?
400
A raffle has 3 different prizes decreasing in value from 1st on down. If 200 tickets were sold, how many different ways can people win
Order matters - Permutation
200 nPr 3 = 7880400 ways
400
What is the probability of selecting someone that likes skateboards?
The probability is 125/160 or 25/32 or 78.1%
500
What is the probability of rolling a 1 and then another 1 when rolling two 6 sided dice?
The probability is 1/36 or 2.8%
500
What is the probability of flipping five coins and each one landing on tails?
The probability is 1/32 or 3.1%
500
Solve: There is a bag with 6 green candies and 3 blue candies. What's the probability of picking a blue, eating it, then picking another blue?
The probability is 6/72 or 1/12
500
Find the missing probability & the expected number of weekly accidents.
P(2) = 0.08
E.V. = 0.37 accidents per week
500
What is the probability of selecting someone that likes snowmobiles?
The probability is 105/160 or 21/32 or 65.6%