Theoretical probability shows what should happen in an experiment. Experimental probability shows...
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Transcript of Theoretical probability shows what should happen in an experiment. Experimental probability shows...
Theoretical probability shows what should happen in an experiment.
Experimental probability shows what actually happened.
Experimental probability:P(event) = number of times event occurs total number of trials
Theoretical probability:P(A) = number of favorable outcomes
total number of possible outcomes
A bag contains three red marbles and three blue marbles.
P(red) = 3/6 =1/2 Theoretical (The result is based on the
possible outcomes)
Not in notes
Trial Red Blue
1 1
2 1
3 1
4 1
5 1
6 1
Total 2 4
Exp. Prob. 1/3 2/3
You draw a marble out of the bag, record the color, and replace the marble. After 6 draws, you record 2 red marbles
P(red)= 2/6 = 1/3 Experimental(The result is found by repeating
an experiment.)
Not in notes
1. P (heads) =________
2. P (tails) = ________
HEADS TAILS
llll llll llllllll
llll llll llll
Experimental
=_________________
=__________________
Theoretical
1535
2035
47
37
12
12
2
1
7
4
14
7
14
8Experimental - Theoretical
This is about 7%
1
14
7
3
2
1
14
6
14
7Tails?
1
14
4) P(4) = ______________
5) P(odd ) = __________
6) P(2 or 5) = __________
7) P(factor of 3) = _________
David rolled a number cube, with the numbers 1-6 on it. He recorded the results in the table below.
Number Outcomes
1 IIII2 III3 IIII4 IIII I5 II6 I
8) What is the difference between the experimental probability of rolling a 2 or 5, and the theoretical probability of rolling a 2 or 5?
1/6
10/20 = ½
5/20 = 1/4
8/20 = 2/5
1/3 – 1/4 = 4/12 – 3/12 = 1/12
6/20= 3/10
Experimental Theoretical
1/2
1/3
1/3
If a car factory checks 360 cars and 8 of them have defects, how many will have defects out of 1260?
P(defects) = 8
360=
1
45
1
45=
1260
X= = 281260 ÷ 45
9)
Essential Question
How are experimental and theoretical probability alike?
Date __________________________
probability shows what __________________in an experiment. probability shows what _________________.
Experimental probability:P(event) = ___________________________
Theoretical probability:P(A) = ______________________________
1. P (heads) =________
2. P (tails) = ________
HEADS TAILS
llll llll llllllll
llll llll llll
Experimental
=_________________
=__________________
Theoretical
Experimental - Theoretical
David rolled a number cube, with the numbers 1-6 on it. He recorded the results in the table below.
Number Outcomes
1 IIII2 III3 IIII4 IIII I5 II6 I
4) P(4) = ______________
5) P(odd ) = __________
6) P(2 or 5) = __________
7) P(factor of 3) = _________
What is the difference between the experimental probability of rolling a 2 or 5, and the theoretical probability of rolling a 2 or 5?
Experimental Theoretical
8)
If a car factory checks 360 cars and 8 of them have defects, how many will have defects out of 1260?
P(defects) =
9)
Essential Question
How are experimental and theoretical probability alike?