Combinations and Permutations
Coins
Independent vs Dependent
"It's a given..." (Conditional probability)
Two Way Table
All About Me. (Me, not you. Me.)
100
True or False: Order matters when calculating Combinations
False
100
What is the probability of a coin landing on heads?
The probability is 1/2 or 50%
100
If we perform an experiment, and use "replacement" between trials, we say the events that we observe are...
Independent
100
What is the probability of picking a four in a deck of cards?
The probability is 4/52 or 1/13
100
What is the probability of selecting someone who likes skateboards and snowmobiles?
The probability is 80/160 or 1/2 or 50%
100
What is Mr. Cardenas' favorite color?
Red
200
True or False: Order does NOT matter when calculating Combinations
True
200
What is the probability of a coin landing on heads, then tails?
HINT: Remember, coin flips are independent events!
The probability is 1/4 or 25%
200
If we perform an experiment, and do not use "replacement" between trials, the events we observe influence the probability of future events. So, we call the events...
Dependent
200
What is the probability of getting a six from a deck of cards?
The probability is 4/52 or 1/13
200
What is the probability of selecting someone that does not like snowmobiles or skateboards?
The probability is 10/160 or 1/16 or 6.3%
200
What is Mr. Cardenas' astrological sign?
Gemini (hate all you want, I love it here!)
300
Mr. Cardenas wants to give students a flexible Chapter 5 Test. He wants to create 10 Questions, and students will be graded on ANY 6 problems they choose to complete, so they can skip 4 questions. How many different ways can students choose to answer questions on this test?
HINT: 10 Choose 6
210 different ways!
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
Independent or Dependent: You select a notebook from your bookbag, put it back, then select another notebook
Independent
300
What is the probability of getting a Heart card from a deck of cards?
The probability is 13/52 or 1/4
300
What is the probability of selecting someone that does not like skateboards, given that they like snowmobiles?
The probability is 25/105 or 5/21 or 23.8%
300
What year did Mr. Cardenas graduate from high school?
HINT: I'm 29, do the math...
2013
400
A P.E. class of 15 students is running the mile, and the teacher wants to award the 5 fastest runners with a Starbucks giftcard. Assuming everyone has an equal chance of winning the race, how many different ways can students fill out the top 5 placements?
HINT: Order matters!
360,360 different ways!
400
What is the probability of flipping three coins and each one landing on heads?
The probability is 1/8 or 12.5%
400
Independent or Dependent: You pick a halloween candy, eat it, then choose another candy to eat
Dependent
400
Assume we draw a 9 and a 7 from the deck of cards and do not replace them. What is the probability of drawing another 9 from the deck?
The probability is 3/50 or 6%
400
What is the probability of selecting someone that likes skateboards?
The probability is 125/160 or 25/32 or 78.1%
400
Who does Mr. Cardenas "main" on Marvel Rivals?
Jeff the Land Shark!
500
Fifty people bought raffle tickets to enter a drawing for three prizes. How many ways can three names be drawn for the prizes?
117,600 different ways!
500
What is the probability of flipping five coins and each one landing on tails?
The probability is 1/32 or 3.1%
500
Are the events "Likes Snowmobiles" and "Likes Skateboards" Independent? (No work, no credit!!!)
No, they are dependent.
500
What is the probability of drawing an ace, returning it, then drawing a Spade Card from a deck of cards?
The probability is 1/52
500
What is the probability of selecting someone that likes snowmobiles or doesn't like snowmobiles?
The probability is 160/160 or 1.00 or 100%
500
What type of music is Mr. Cardenas' favorite?
Rock