Probability
Adding Probabilities
Sets and Probabilities
Conditional Probability
Independent and Dependent Events
100
Between what two numbers must a probability lie?
What is 0 and 1?
100
Given: A = {1, 3, 6, 9} and B = {1, 4, 7, 9}, what is the union of A and B?
What is {1, 3, 4, 6, 7, 9}
100
If A is the set of all even numbers between 1 and 10 inclusive, what is B?
What is {2, 4, 6, 8, 10}
100
What is the formula for P(A l B)?
What is P(A and B)/P(B) or n(A and B)/n(B)
100
Pick one card out of a deck. Then, without replacing the card, pick another card. Is the probability of picking a red card on the 2nd pick independent or dependent from the 1st pick. Why?
What is Dependent, because the odds change when a card is removed.
200
On a standard 6-sided die, what is the probability of rolling a multiply of 3?
What is 1/3 or .333
200
Given: A = {1, 3, 6, 9} and B = {1, 4, 7, 9}, what is the intersection of A and B?
What is {1, 9}
200
Let C be the compliment to Set B (all the even numbers from 1-10 inclusive). What is the set C?
What is {1, 3, 5, 7, 9}
200
P(A) = .34 P(B) = .45 P(A and B) = .09 What is P(A l B)?
What is .20 or 20%?
200
P(A) = . 45 P(B) = .20 P(A and B) = .09 Are the events A and B independent? How do you know?
What is Yes because .45 * .20 = .09
300
On a standard 6 sided die, what is the probability of the compliment of rolling a multiple of 3?
What is 2/3 of .666
300
Given: A = {1, 3, 6, 9} and B = {1, 4, 7, 9}, what is n(A and B)
What is 2
300
If C = {1, 3, 5, 7, 9}, what is n(C)?
What is 5
300
In a survey of 200 people, 34% had a dog, 21% had a cat, and 11% had both a cat and a dog. What is the conditional probability that a person who has a dog also has a cat?
What is .324 or 32.4%?
300
One a standard 6 sided die, the probability of rolling an odd number is .5. Let O be the event of rolling an odd number and T be the event of rolling a number that is a multiple of 3. Are O and T independent or dependent. Why?
What is independent. Because P(O) equals P(O l T); .5 = .5