What symbol is used to represent the intersection?
∩
Determine if the following is independent or dependent.
You and your friend are picking out bracelets. They have 2 purple, 1 blue, and 3 red. You select the blue bracelet to keep and your friend selects the purple bracelet.
Dependent
Determine if the following is mutually exclusive or non-mutually exclusive.
At your house, you have 8 cans of iced tea and 4 cans of pop. Of those, 3 iced teas and 2 pops are cold. The rest are warm. You randomly select a drink. It is an iced tea or it is cold.
Non-Mutually Exclusive
Fill in the remainder of this two-way table.
Car Total:
Laptop and No Car:
No Laptop Total:
No Car Total:
Total surveyed:
Car Total: 76
Laptop and No Car: 27
No Laptop Total: 39
No Car Total: 44
Total surveyed: 120
When looking for the complement, what are we trying to find?
The opposite of the event (any piece of our sample space that is not included in the event)
Find the probability of event B if the P(A)=22% and the P(A and B)=10%. Event A and B are independent events.
.45 or 45%
In a class of 30 students, 10 students play a sport, 5 students are in a club, 3 students play a sport and are in a club. Find the probability of randomly selecting a student that plays a sport or is in a club.
12/30 or 0.4
Find the probability of randomly selecting a person who drives a sports car given they are female.
45/180
Given the set {1, 2, 3, 4, 5}
Event A:{1, 2, 3}
Event B: {2, 4}
Find AUB
{1, 2, 3, 4}
You select a card from a deck, replace it, and select a second card. Find P(red and queen).
4/104 or 0.04
When rolling a dice, find the probability of rolling a number higher than 4 or a multiple of 4.
3/6 or 0.5
Find the probability of selecting a a person from the group of men who is a basketball fan.
15/48
You are rolling a dice. Event A will contain any odd numbers while event B is any multiple of 3.
Find the P(A ∩ B)
1/6
There is a bag of marbles: 4 yellow, 2 red, 1 blue, and 1 orange. You select one marble to keep and then your friend selects a marble. Find the probability that you choose a yellow marble and your friend chooses an orange marble.
4/56
In a survey, Steven discovered that there was a 58% chance the people surveyed were in college or were female. The probability they were female was 28%. Determine the probability that the person was in college.
30% or 0.3
In a group of 100 car buyers, 40% added a sun roof, 30% added heated seats, and 20% added both a sun roof and heated seats. What is the probability of randomly selecting a car buyer who added heated seats given they added a sun roof?
0.2/0.4 or 0.5