Vocabulary
What is an outcome?
A possible result.
0%
Impossible
Monique spins a spinner with 5 equal sections labeled: red, yellow, green, blue, and orange.
What is the probability she will land on blue?
P(blue)=1/5 or 20%
The results of spinning a wheel 80 times is shown below. What is the relative frequency of the event "spin a 2"?
Outcomes: 1 2 3 4
Frequency: 8 22 18 32
22/80 = 0.275 = 27.5%
You and a friend are flipping a penny.
If you flip the penny 200 times, about how many times will the penny land heads up?
About 100 times.
What is theoretical probability?
The expected chances of something happening.
Rolling an even number on a cube numbered 1 through 6.
Equally Likely
A 12 sided solid has sides labeled 1 through 12.
Find P(number less than 5).
P(number less than 5)=1/3 or 33.3...%
Lisa flips a coin 75 times. The coin lands heads up 30 times and tails 45 times.
Complete each statement.
1)The theoretical probability of the coin landing heads up is:
2)Based on Lisa's results, the experimental probability of the coin landing heads up is:
1) 50%
2) 40%
You have a spinner divided into 4 equal slices.
Each slice is a different color.
If you spun the spinner 100 times, about how many times would you land on each color?
About 25 times each.
What is experimental probability?
The chances of something happening
based on actual data and trials.
Ben has 3 out of seven chances to draw a red coin. Is this likely or unlikely?
Unlikely
Find the theoretical probability of rolling a sum of 7 when two dice are rolled at the same time.
P(sum of 7)=6/36=1/6 or about 17%
A six-sided die is thrown 50 times. Using the list below, how does the theoretical probability of rolling a 3 compare to the experimental probability of rolling a 3?
1 2 3 4 5 6
8 6 7 12 10 7
The theoretical probability is higher than the experimental probability. (Theoretical = 17%, Experimental = 14%)
If you were to roll a 6 sided dice, labeled 1-6, 120 times.
About how many times would you roll each number?
About 20 times each.
What is relative frequency?
Experimental Probability
Rolling a number less than or equal to 5 on a cube numbered 1 through 6.
Likely
How many outcomes are there if you toss a coin and a 6-sided number cube at the same time?
12
S={1H, 2H, 3H, 4H, 5H, 6H, 1T, 2T, 3T, 4T, 5T, 6T}
P(1)=1/8
P(2)=1/8
P(3)=1/3
P(4)=1/4
P(5)=1/10
P(6)=???
P(6) = 1/15
If you were to roll a 12 sided dice, labeled 1-12, 120 times.
About how many times will you roll each number?
You will roll each number about 10 times.
What are the two things needed for a probability model?
1) sample space
2) the probabilities of all outcomes
100%
Certain
What is the theoretical probability of selecting a vowel out the alphabet?
P(vowel)=5/26 or about 19%
A letter tile is randomly selected from a bag, recorded, and replaced 100 times. The results are listed below. What is the experimental probability of selecting the letter "E"?
A = 16
E = 11
I = 29
O = 19
U = 25
11/100 or 0.11, or 11%
How many times would you expect a die to land on a 4 if it was tossed 72 times?
12