Experimental & Theoretical Probability
Flipping Coins
Independent vs Dependent
Venn Diagrams
Two Way Tables
100
There are 916 students at Roosevelt, of whom 155 are seniors. What is the probability that a randomly selected student is a senior?
155/916
100
What is the probability of a coin landing on heads?
1/2
100
I flip a coin and then spin a spinner. Are these two events independent or dependent?
Independent
100
In the diagram below, how many people like pancakes AND eggs?
30
100
What is the probability that a randomly selected person likes skateboards and snowmobiles?
80/160 or 1/2
200
A medical practice has 18 female doctors and 2 male doctors. What is the probability that a randomly selected doctor is male?
2/20 or 1/10
200
What is the probability flipping two coins and getting one heads and one tails?
2/4 or 1/2
200
There are red and green marbles in a bag. I pick out one marble, put it aside, and then pick out a second marble. Are the two events independent or dependent?
Dependent
200
In the Venn Diagram below, how many people like eggs?
30 + 40 = 70
200
What is the probability that a randomly selected person does not like snowmobiles or skateboards?
10/160 or 1/16
300
Write an example of an event with a probability of 1.
Anything CERTAIN to happen
300
What is the probability of flipping three coins and each one landing on heads?
1/8
300
Write an example of two INDEPENDENT events.
Any two events with no relationship between each other.
300
In the diagram below, how many people like pancakes OR eggs?
20 + 30 + 40 = 90
300
What is the probability of selecting someone that does not like skateboards GIVEN THAT they do like snowmobiles?
25/105 or 5/21
400
Dani flips a coin 10 times and gets 7 heads. She says the probability of getting a head on the next flip is 70%. Is the right or wrong? Why?
Wrong. The experimental probability is not always the same as the actual probability.
400
What is the probability of flipping ten coins and getting the same outcome each time?
2/1024 or 1/512
400
Write an example of two DEPENDENT events.
Any two events where the outcome is unrelated to the outcome of the other.
400
What is the probability that a randomly selected person likes pancakes?
50/100 or 1/2
400
What is the probability of someone liking snowmobiles GIVEN THAT they also like skateboards?
80/125 or 4/5
500
Write an example of an event with a probability of 0.
Anything that's IMPOSSIBLE.
500
Write an algebraic function for the probability of flipping a coin n times and getting heads each time.
(1/2)^n
500
The amount of ice cream sold in a day and the number of people who drown on that same day are DEPENDENT events. Explain why.
They both happen more often in hot weather.
500
What is the probability that a randomly selected person does not like eggs GIVEN THAT they do like pancakes?
20/50 or 2/5
500
Draw a Venn Diagram representing the data in the table below:
