Understand Likelihood and Probability
Is a 6-sided dice considered fair?
Yes --> Each outcome on the dice are equally likely
What is the theoretical probability of landing on any section for a fair 5-section-spinner?
1/5 or 20%
Out of 100 trials, a coin landed heads up 33 times. What is the experimental probability of landing tails up?
67/100 or 67%
What is the probability of rolling a 5 (as a percent) on a 6-sided dice?
16.66% or 17%
There are 6 red marbles, 3 blue marbles, and 1 white marble in a bag. Describe the likelihood of pulling a black marble out of the bag?
It is impossible to pull a black marble out of the bag.
What is the theoretical probability of landing on heads?
1/2 = 50%
Theoretical Probability is based on mathematical reasoning but Experimental Probability is based on _____________
Experiments / Trials
Use this probabilty model to predict how many time you should expect to land on a red section if you spin the spinner 40 times.
S = {R, B, G, O}
red: 1/4
blue: 1/4
green: 1/4
orange: 1/4
1/4 = 10/40
10 times
What are the two different ways we can write a ratio?
1) As a fraction
2) With a semicolon
If you flip a coin 150 times, how many time should you expect to land on tails?
75 times
What is the formula to calculate experimental probability
number of times favorable event occurs / total number of trials
What is the probability distribution for a 6-sided dice?
1 --> 1/6 --> ~17%
2 --> 1/6 --> ~17%
3 --> 1/6 --> ~17%
4 --> 1/6 --> ~17%
5 --> 1/6 --> ~17%
6 --> 1/6 --> ~17%
How does the proability of winning a spinner change if you increase the amount of other sections?
The probability of winning will decrease if you increase the total number of possible outcomes.
There are 10 red marble, 13 blue marbles, and 17 orange marbles in a jar. How many times should you expect to pick an orange marble from the jar if you were to draw a marble and put it back each time for 100 times.
About 43 times
Out of 80 rolls of the six-sided dice, Jenny landed on the number 3, 42 times. Find the Experimental Probability as a percent.
52.5%
What is the sample space for a bag containing 5 tiles labeled X, 3 tiles labeled Y, and 4 tiles labeled Z?
S = {X, X, X, X, X, Y, Y, Y, Z, Z, Z, Z}
Probability can be written as a number between _____ and ______
0 and 1
What can you do with theoretical probability?
Make a prediction
The more trials you complete the __________ you become to the theoretical probability.
closer
A probability model require 2 things. What are those 2 things?
- a sample space
- a probability distribution