theoretical probability shows what should happen in an experiment. experimental probability shows...
TRANSCRIPT
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?