Simple Probability
Conditional Probability
Independent vs. Dependent
Set Notation
100
A bag contains 12 red marbles, 6 purple marbles, and 6 green marbles. What is the probability a green marble is selected?
1/4 or 25%
100
What is the probability that a student is female given that they are left handed?
1/3 or 33%
100
You roll a number cube twice. What is the probability that the first roll is a 3 and the second roll is a 2 or 5?
1/18 or 5.6%
100
How many students are in both the chess and math club, but not the science club?
5
200
What is the probability that a student selected exercised more than 5 hours or is in 9th grade? Write your answer as a percentage rounded to the nearest whole number.
74%
200
What is the probability a student is right handed given the student is male?
11/16 or 68.75%
200
The guidance department has reported that of the senior class, 2.3 % are members of Key Club, K, 8.6 % are enrolled in AP Physics, P, and 1.9 % are in both. Are the events P and K independent?
Show how you know on your whiteboard.
No
P(P | K) = 1.9/2.3 = 83%
P(P) = 8.6%
Since P(P | K) does not equal P(P), the events are not independent
200
How many students are in the chess club but not the science club?
9
300
What is the probability that a student selected is in 10th grade and exercised less than 5 hours last week? Write your answer as a percentage rounded to the nearest whole number
26%
300
The guidance department has reported that of the senior class, 2.3 % are members of Key Club, K, 8.6 % are enrolled in AP Physics, P, and 1.9 % are in both. What is the probability of P given K?
Write your answer as a percentage rounded to the nearest whole number
83%
300
B
300
Given set P = {-5, 1, 3} and set Q = {-4, -2, 1, 2, 3 }. What is P ∩ Q?
1, 3
400
Five years after 650 high school seniors graduated, 400 had a college degree and 310 were married. Half of the students with a college degree were married. What is the probability that a student has a college degree or is not married?
83%
400
Of the 10th grade class, 12% of students are failing geometry, and 8% of students are failing chemistry. 2% of students are failing both. What is the probability that a student is passing geometry given they are failing chemistry?
(hint: make a two-way table; the total in bottom right should be 100%)
75%
400
You have a bag with 12 marbles. 3 are red, 7 are blue, and 2 are purple. You draw two marbles without replacement. Find the probability that the first draw is red, and the second draw is not blue.
1/11 or 9%
400
Given set P = {-5, 1, 3} and set Q = {-4, -2, 1, 2, 3 }. What is P U Q?
-5, -4, -2, -1, 1, 2, 3