Holt CA Course 1 11-6 Experimental Probability Warm Up Warm Up California Standards California...
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Transcript of Holt CA Course 1 11-6 Experimental Probability Warm Up Warm Up California Standards California...
Holt CA Course 1
11-6 Experimental Probability
Warm UpWarm Up
California StandardsCalifornia Standards
Lesson PresentationLesson Presentation
PreviewPreview
Holt CA Course 1
11-6 Experimental Probability
Warm UpUse the table to find the probability of each event.
1. A or B occurring
2. C not occurring
3. A, D, or E occurring
0.494
0.742
0.588
Holt CA Course 1
11-6 Experimental Probability
Review of Grade 6 SDAP3.2 Use data to estimate the probability of future events (e.g., batting averages or number of accidents per mile driven).Also covered: 6SDAP3.3
California Standards
Holt CA Course 1
11-6 Experimental Probability
Vocabulary
experimental probability
Holt CA Course 1
11-6 Experimental Probability
In experimental probability, the likelihood of an event is estimated by repeating an experiment many times and observing the number of times the event happens. That number is divided by the total number of trials. The more times the experiment is repeated, the more accurate the estimate is likely to be.
Holt CA Course 1
11-6 Experimental Probability
A marble is randomly drawn out of a bag and then replaced. The table shows the results after fifty draws.
Additional Example 1A: Estimating the Probability of an Event
The probability of drawing a red marble is about 0.3, or 30%.
probability number of red marbles drawntotal number of marbles drawn
15 50
=
Estimate the probability of drawing a red marble.
Outcome Green Red Yellow
Draw 12 15 23
Holt CA Course 1
11-6 Experimental Probability
A marble is randomly drawn out of a bag and then replaced. The table shows the results after fifty draws.
Additional Example 1B: Estimating the Probability of an Event
The probability of drawing a green marble is about 0.24, or 24%.
probability number of green marbles drawntotal number of marbles drawn
12 50
=
Estimate the probability of drawing a green marble.
Outcome Green Red Yellow
Draw 12 15 23
Holt CA Course 1
11-6 Experimental Probability
A marble is randomly drawn out of a bag and then replaced. The table shows the results after fifty draws.
Additional Example 1C: Estimating the Probability of an Event
The probability of drawing a yellow marble is about 0.46, or 46%.
probability number of yellow marbles drawntotal number of marbles drawn
23 50
=
Estimate the probability of drawing a yellow marble.
Outcome Green Red Yellow
Draw 12 15 23
Holt CA Course 1
11-6 Experimental Probability
A ticket is randomly drawn out of a bag and then replaced. The table shows the results after 100 draws.
Check It Out! Example 1A
The probability of drawing a purple ticket is about 0.55, or 55%.
probability number of purple tickets drawntotal number of tickets drawn
55 100
=
Estimate the probability of drawing a purple ticket.
Outcome Purple Orange Brown
Draw 55 22 23
Holt CA Course 1
11-6 Experimental Probability
A ticket is randomly drawn out of a bag and then replaced. The table shows the results after 100 draws.
Check It Out! Example 1B
The probability of drawing a brown ticket is about 0.23, or 23%.
probability number of brown tickets drawntotal number of tickets drawn
23 100
=
Estimate the probability of drawing a brown ticket.
Outcome Purple Orange Brown
Draw 55 22 23
Holt CA Course 1
11-6 Experimental Probability
A ticket is randomly drawn out of a bag and then replaced. The table shows the results after 1000 draws.
Check It Out! Example 1C
The probability of drawing a blue ticket is about 0.112, or 11.2%.
probability number of blue tickets drawntotal number of tickets drawn
112 1000
=
Estimate the probability of drawing a blue ticket.
Outcome
Red Blue Pink
Draw 285 112 603
Holt CA Course 1
11-6 Experimental Probability
Use the table to compare the probability that the Huskies will win their next game with the probability that the Knights will win their next game.
Additional Example 2: Sports Application
Holt CA Course 1
11-6 Experimental Probability
Additional Example 2 Continued
The Knights are more likely to win their next game than the Huskies.
number of winstotal number of games
probability
probability for a Huskies win 13879 0.572
146probability for a Knights win 90 0.616
Holt CA Course 1
11-6 Experimental Probability
Use the table to compare the probability that the Huskies will win their next game with the probability that the Cougars will win their next game.
Check It Out! Example 2
Holt CA Course 1
11-6 Experimental Probability
Check It Out! Example 2 Continued
The Huskies are more likely to win their next game than the Cougars.
number of winstotal number of games
probability
probability for a Huskies win 13879 0.572
150probability for a Cougars win 85 0.567
Holt CA Course 1
11-6 Experimental Probability
Lesson Quiz: Part I
1. Of 425,234 seniors were enrolled in a math course. Estimate the probability that a randomly selected senior is enrolled in a math course.
2. Mason made a hit 34 out of his last 125 times at bat. Estimate the probability that he will make a hit his next time at bat.
0.27, or 27%
0.55, or 55%
Holt CA Course 1
11-6 Experimental Probability
Lesson Quiz: Part II
3. Christina polled 176 students about their favorite yogurt flavor. 63 students’ favorite flavor is vanilla and 40 students’ favorite flavor is strawberry. Compare the probability of a student’s liking vanilla to a student’s liking strawberry.
about 36% to about 23%
