Target: Find and interpret experimental and theoretical probabilities.
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Transcript of Target: Find and interpret experimental and theoretical probabilities.
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Target: Find and interpret
experimental and theoretical probabilities.
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Write each percent as a fractionWrite each percent as a decimal.
1. 50%
2. 10%
3. 89%
Write each fraction as a percent.
4.
5.
6. Juan flipped a coin 10 times and it landed heads 7 times. Write the ratio of number of times the coin landed heads to
total number of flips.
4
1
5
4
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Probability: ◦ The measure of how likely it is an even will occur.
Outcome: ◦ One possible result from an experiment or probability event.
Event: ◦ A desired outcome or group of outcomes.
Theoretical Probability: ◦ The ratio of favorable outcomes to the number of possible outcomes.
total
favorable
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Experimental Probability: ◦ The ratio of the number of times an event occurs to the total
number of trials.
Trial: A single act of performing an experiment.
Complement: Two probabilities whose sum is 1. Together they make up all the possible outcomes without repeating any outcomes.
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outcomes possible ofnumber
outcomes favorable ofnumber P(event) event an ofy Probabilit
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a. Find P(1 or 2) when rolling a number cube.
b. Find P(7) when rolling a number cube.
3
1
6
2
6) 5, 4, 3, 2, (1, outcomes possible ofnumber
2) (1, outcomes favorable ofnumber 2)or P(1
06
0
6) 5, 4, 3, 2, (1, outcomes possible ofnumber
(0) outcomes favorable ofnumber P(7)
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trialsofnumber total
occursevent the timesofnumber P(event)
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Use the spinner to write each probability as a fraction decimal and percent.
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Kyle rolled a number cube 60 times. His results are shown in the table below.
a. Find Kyle’s experimental probability of rolling a 6.
b. Find Kyle’s experimental probability of not rolling a 6.
Number rolled 1 2 3 4 5 6
Frequency 8 12 6 15 4 15
4
1
60
15
trialsofnumber
rolled was6 a timesofnumber )6(P
4
3
60
45
(60) trialsofnumber
4)15612 (8 rollednot was6 a timesofnumber 6)P(not
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Kyle rolled a number cube 60 times. His results are shown in the table below.
c. Find the theoretical probability of rolling a 6.
d. Find the theoretical probability of not rolling a 6.
Number rolled 1 2 3 4 5 6
Frequency 8 12 6 15 4 15
6
1
outcomes possible ofnumber
outomes favorable ofnumber P(6)
6
5
outcomes possible ofnumber
outcomes favorable ofnumber 6)P(not
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Mr. Tibbets has a deck of cards numbered 1 through 20. The cards are
shuffled. One card is picked at random. Find each probability.
1. P(7)
2. P(odd number)
3. P(40)
4. Martha picked cards 40 times and picked a “7” four times.
a. What is the experimental probability Martha will pick a “7”?
b. Is Martha’s experimental probability greater than or less than the
theoretical probability of picking a “7”?
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Your friend needed a coin to land “tails” to win a new shirt at the mall. The coin was tossed 15 times and never landed “tails”. She complained that the coin wasn’t fair. What do you think? Why?
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Probability
Lesson 13
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