Lesson 11 2 experimental probability

10
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 coin Rolling 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 Flipping a coin: {Heads or tails}

description

 

Transcript of Lesson 11 2 experimental probability

Page 1: 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

Page 2: Lesson 11 2 experimental probability

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}

Page 3: Lesson 11 2 experimental probability

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

Page 4: Lesson 11 2 experimental probability

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.

Page 5: Lesson 11 2 experimental probability

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.

Page 6: Lesson 11 2 experimental probability

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? ___________________________