Simple Probability
Theoretical Probability
Experimental Probability
Probability Models
Probability Vocabulary
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 Experimental 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
Desired Number of Outcomes Divided by Total Number of Outcomes
Probability
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 experimental probability of the dice landing on a ONE?
0/10 or 0%
200
How many outcomes generate a SUM of ELEVEN?
Two
200
This is the type of probability that tells you what is SUPPOSED to happen
Theoretical
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 Experimental Probability of pulling a RED block?
1/7 or 14%
300
A bag has 10 blocks in it. A student picks a block out of the bag 50 times and gets a blue block 16 times. Based on these results, how many blocks do you expect to be blue?
3 blue blocks
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.
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 Experimental Probability from the ten cards pulled that a HEARTS was pulled?
4/10 or 40%
400
A spinner has 3 equal parts labeled 1, 2, and 3. How many times would you expect it to land on 1 if you spun it 60 times?
20
400
A ____________________________ is the visual set of all possible outcomes.
Sample Space
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, 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%
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
fraction of experiments that result in a certain outcome
Relative Frequency