Lesson 11 2 experimental probability
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Transcript of Lesson 11 2 experimental probability
Name ___________________________________Date ______________________Mrs. Labuski & Mrs. Rooney Period _______ 11-2 Experimental Probability
VOCABULARY DEFINITION EXAMPLE
EXPERIMENT
An actvitity involving chance
that can have different results.
Flipping a coinRolling a die
OUTCOME
The different results that can
occur in an experiment
Flipping a coin:Heads or tails
Rolling a die:1,2,3,4,5,6
SAMPLE SPACE
The set of all possible outcomes. You can use { } to
show sample spaces
Flipping a coin:{Heads or tails}
Rolling a die:{1,2,3,4,5,6}
EXPERIMENTAL PROBABILITY
The ratio of the number of times
the event occurs to the total number of
times the experiment is
performed
Flipped a coin 4 times
Heads landed 3 times
Probability ¾
For each experiment, identify the outcome shown and the sample space.
outcome: red outcome: yellow
sample space: {red, blue} sample space: {red, blue, yellow}
Kerry has a bag of marbles. He removed one marble, recorded the color, and placed it back in the bag. He repeated this process 15 times and recorded his results in the frequency table.
Color Selected Red Blue Black Green
Frequency 3 1 5 6
3. Find the experimental probability that a marble selected from the bag will be blue. 1
154. Find the experimental probability that a marble selected from the bag will be black. 5 = 1
15 35. Based on Kerry’s experiment, which color marble is he most likely to select from the bag? green
6. Based on Kerry’s experiment, which color marble is he least likely to select from the bag? blue
7. In 10 free throws, Pamela made 3 shots. What is the experimental probability that Pamela will make her next free throw? 3 = 30% 108. Juan tossed a fair coin and it landed heads up. What is the outcome and sample space of this experiment? outcome: heads
sample space: {heads, tails}
For each experiment, identify the outcome shown and the sample space.
outcome: green outcome: 2
sample space: {red, blue, green} sample space: {1,2,3,4,5}
Amanda has a standard deck of playing cards. She picked one card, recorded the suit, and placed it back in the deck. She repeated this process several times and recorded her results in the table.
3. Find the experimental probability that a card 5 selected from the deck will be a spade. 24
4. Find the experimental probability that a card 4 = 1selected from the deck will be a diamond. 24 6
5. Based on Amanda’s experiment, which card suit is she most likely to select from the deck? club
6. Based on Amanda’s experiment, which card suit is she least likely to select from the deck? diamond
7. In 28 coin tosses, John got tails up 14 times. What is the experimental probability that John will make get tails up on his next toss? 14 = 1 = 50%
28 2
Name ___________________________________Date ______________________Mrs. Labuski & Mrs. Rooney Period _______ 11-2 Experimental Probability
VOCABULARY DEFINITION EXAMPLE
EXPERIMENT
OUTCOME
Flipping a coin:
Rolling a die:
SAMPLE SPACE
Flipping a coin:
Rolling a die:
EXPERIMENTAL PROBABILITY
Flipped a coin 4 times
Heads landed 3 times
Probability
For each experiment, identify the outcome shown and the sample space.
outcome: _______________________ outcome: ______________________
sample space: ____________________ sample space: ___________________
Kerry has a bag of marbles. He removed one marble, recorded the color, and placed it back in the bag. He repeated this process 15 times and recorded his results in the frequency table.
Color Selected Red Blue Black Green
Frequency 3 1 5 6
3. Find the experimental probability that a marble selected from the bag will be blue. __________________________________________________________
4. Find the experimental probability that a marble selected from the bag will be black. __________________________________________________________
5. Based on Kerry’s experiment, which color marble is he most likely to select from the bag? __________________________________________________________
6. Based on Kerry’s experiment, which color marble is he least likely to select from the bag? __________________________________________________________
7. In 10 free throws, Pamela made 3 shots. What is the experimental probability that Pamela will make her next free throw? ____________________________________
8. Juan tossed a fair coin and it landed heads up. What is the outcome and sample space of this experiment? outcome: _______________________
sample space: ____________________For each experiment, identify the outcome shown and the sample space.
outcome: _______________________ outcome: ______________________
sample space: ____________________ sample space: ___________________
Amanda has a standard deck of playing cards. She picked one card, recorded the suit, and placed it back in the deck. She repeated this process several times and recorded her results in the table.
3. Find the experimental probability that a card selected from the deck will be a spade. _________________________________________________________
4. Find the experimental probability that a card selected from the deck will be a diamond. _________________________________________________________
5. Based on Amanda’s experiment, which card suit is she most likely to select from the deck? _________________________________________________________
6. Based on Amanda’s experiment, which card suit is she least likely to select from the deck? _________________________________________________________
7. In 28 coin tosses, John got tails up 14 times. What is the experimental probability that John will make get tails up on his next toss? ___________________________