Theoretical Probability
If a six-sided dice is rolled 30 times, how many times would you predict the dice to land on THREE?
1/6times30=5
A six-sided dice is rolled ten times. Not once did it land on ONE.
What is the experimental probability of the dice landing on a ONE?
0/10 or 0%
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
How do you solve for Experimental Probability?
Number of Times an event occurs divided by the Number of Trials Conducted
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%
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
3 RED blocks and 7 GREEN blocks are in a pile together.
After 7 attempts, a RED block is only pulled once.
What is the Experimental Probability of pulling a RED block?
1/7 or 14%
What are 2 ways we can show the outcomes of compound probabilities
Tree diagram, Table, List
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.
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%
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
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 Experimental Probability that a HEARTS was pulled?
4/10 or 40%
How many other colored marbles are in a bag if there is a 40% chance of picking a red marble out of a bag with 8 red marbles.
12
An ________________________ is a single outcome or a group of outcomes.
Event
If two cards are pulled at random from a deck, what is the probability both cards pulled are QUEENs if the first card is NOT returned to the deck.
4/52times3/51=12/2652=1/221 or 0.45%
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
Seventeen student are in a classroom. There are 6 BOYS and 11 GIRLS.
During a week, 30 trips were made to the restroom, 14 trips from the BOYS and 16 trips from the GIRLS.
What is the Experimental Probability that a GIRL asks to use the restroom?
16/30 or 8/15 or 53%
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%
A ____________________________ is the visual set of all possible outcomes.
Sample Space
Seventeen student are in a classroom. There are 6 BOYS and 11 GIRLS.
What is the probability that two GIRLs are called at random?
11/17times10/16=110/272=55/136 or 40.4%
If a coin is flipped six times, how many times would you predict the coin will land on HEADS?
1/2 times 6 = 3
A coin is flipped Five times. It lands on HEADS Twice. What is the Experimental Probability of landing on HEADS?
2/5 or 40%
What are all of the possible outcomes when flipping a coin?
Heads and Tails
How do you solve for Simple Probability?
Desired Number of Outcomes Divided by Total Number of Outcomes
If two coins are flipped, what is the probability that both coins lands on HEADS?
1/2 × 1/2 = 1/4 or 25%