Simple Probability
Theoretical Probability
Expected Probability
Probability Models
Probability Vocabulary
Compound Probability
100
If a single coin is flipped, what is the probability that the coin lands on HEADS?
1/2 or 50%
100
If a coin is flipped six times, how many times would you predict the coin will land on HEADS?
1/2 times 6 = 3
100
A coin is flipped Five times. It lands on HEADS Twice. What is the Expected Probability of landing on HEADS?
2/5 or 40%
100
What are all of the possible outcomes when flipping a coin?
Heads and Tails
100
How do you solve for Simple Probability?
Desired Number of Outcomes Divided by Total Number of Outcomes
100
If two coins are flipped, what is the probability that both coins lands on HEADS?
1/2 × 1/2 = 1/4 or 25%
200
If a six-sided dice is rolled, what is the probability of rolling a THREE or FIVE?
2/6 or 1/3 or 33%
200
If a six-sided dice is rolled 30 times, how many times would you predict the dice to land on THREE?
1/6times30=5
200
A six-sided dice is rolled ten times. Not once did it land on ONE.
What is the expected probability of the dice landing on a ONE?
0/10 or 0%
200
How many outcomes generate a SUM of ELEVEN?
Two
200
How do you solve for Theoretical Probability?
Simple Probability Times the Number of Trials Conducted
200
If two six-sided die are rolled, what is the probability of rolling double THREEs?
1/6 times 1/6 = 1/36 or 2.8%
300
Three RED blocks and Seven GREEN blocks are in a pile together.
What is the probability that a RED block is pulled from the pile?
3/10 or 30%
300
Three RED blocks and Seven GREEN blocks are in a pile together.
If you pull 20 blocks from the pile and put each block back after each pull, how many times would you predict a RED block is pulled?
3/10times20=6
300
Three RED blocks and Seven GREEN blocks are in a pile together.
After 7 attempts, a RED block is only pulled once.
What is the Expected Probability of pulling a RED block?
1/7 or 14%
300
Three RED blocks and Seven GREEN blocks are in a pile together.
If two blocks are pulled at random, how many possible outcomes result in BOTH green blocks being pulled? Use the image below to guide your thinking.
49 out of 100
300
How is Theoretical Probability different from Experimental Probability?
Theoretical Probability: What you would predict would happen if you conducted an experiment.
Expected Probability: The Probability calculated based on the results of the experiment.
300
Three RED blocks and Seven GREEN blocks are in a pile together.
What is the probability that two RED blocks are pulled from the pile if the first RED block is put back into the pile after the first pull?
3/10times3/10=9/100 or 9%
400
If a card is pulled at random from a deck, what is the probability the card pulled is a QUEEN?
4/52 or 1/13 or 7.7%
400
If a card is pulled at random from a deck 52 times, and that card is returned each time, how many times would you predict to pull a QUEEN?
1/13times52=4
400
Ten cards from a deck of playing cards are pulled at random and removed from the deck. The following cards were pulled:
2D 10C QS 7H 4C QH AD 8S 9H 3H
What is the Expected Probability from the ten cards pulled that a HEARTS was pulled?
4/10 or 40%
400
Identify all of the SUITS and all of the VALUES in a deck of playing cards.
Suits: Diamonds, Heart, Clubs, & Spades
Values: 2, 3, 4, 5, 6, 7, 8. 9. 10. Jack. Queen, King, & Ace
400
A ____________________________ is the visual set of all possible outcomes.
Sample Space
400
If two cards are pulled at random from a deck, what is the probability both cards pulled are QUEENs?
Remember that once a card is pulled out, it is NOT returned to the deck.
4/52times3/51=12/2652=1/221 or 0.45%
500
Seventeen student are in a classroom. There are 6 BOYS and 11 GIRLS.
What is the probability that a GIRL is selected at random?
11/17 or 64.7%
500
Seventeen student are in a classroom. There are 6 BOYS and 11 GIRLS.
If you pull students at random 102 times, how many times do you predict a GIRL is pulled from the group?
11/17times102=66
500
Seventeen student are in a classroom. There are 6 BOYS and 11 GIRLS.
During a week, thirty trips were made to the restroom, 14 trips from the BOYS and 16 trips from the GIRLS.
Next week, what is the Expected Probability that a GIRL asks to use the restroom?
16/30 or 8/15 or 53%
500
DOUBLE JEOPARDY SPEED ROUND
What is the probability of flipping HEADS on a coin 7 times in a row?
1/2times1/2times1/2times1/2times1/2times1/2times1/2=1/128 or 0.78%
500
An ________________________ is a single outcome or a group of outcomes.
Event
500
Seventeen student are in a classroom. There are 6 BOYS and 11 GIRLS.
What is the probability that two GIRLs are selected at random?
Remember to reduce the total number of students and the total number of GIRLs from your calculations by one after the first pull.
11/17times10/16=110/272=55/136 or 40.4%