Conceptual Probability
0, -0.4, 1/5, 1, 7/2.
0, 1/5, and 1
In the following situation, would you use a permutation or a combination?
You are ranking your favorite books. You want to pick your first, second, and third place book out of a group of ten books. How many possible rankings are there for 1st, 2nd, and 3rd?
This is a permutation because order matters.
If P(E)=.25 and P(F)=.45, find the probability of the complement of event F.
.55
A golf ball is selected at random from a golf bag. If the bag contains 9 Titleists, 8 Maxflis, and 3 Top Flites. What is the probability that the golf ball is not a Top Flite.
17/20
In what country is the automaker BMW located?
P(at least one randomly selected students are girls)
The complement is P(none of the randomly selected students are girls)
Find (7C3)-(4P2)
23
What is the probability of obtaining five heads in a row when flipping a fair coin?
If P(E) = 0.60, P(E or F) = 0.85, and P(E and F)= 0.05, find P(F).
.3
Who is the only president to be elected for more than two terms.
FDR
According to the Centers for Disease Control, the probability that a randomly selected citizen of the United States has hearing problems is 0.151. The probability that a randomly selected citizen of the United States has vision problems is 0.093. Can we compute the probability of randomly selecting a citizen of the United States who has hearing problems or vision problems by adding these probabilities? Why or why not?
We cannot because we don't know the probability that a randomly selected citizen of the United States has both hearing and vision problems.
Your school club is creating an executive board with a president, Vice President, secretary, treasurer, and public relations chair. Since there are five of you in the club, each person will get one position. How many possible combinations are there for the exec board?
120
1/26
This past semester, I had a small business calculus section. The students in the class were Mike, Neta, Jinita, Kristin, and Dave. Suppose that I randomly select two people to go to the board to work problems. What is the probability that Dave is the first person chosen to go to the board and Neta is the second (assuming David cannot be the second person?
1/20
Maine
Suppose you have a bag of 5 marbles: one red, one blue, one green, one orange, one pink. You pick a marble one at a time and then put it back in the bag for your next pick. Use this scenario to explain the Law of Large Numbers.
The more times we pick a marble out of the bag, the closer the percentage of the color we pick should be 20% each.
You are creating a password. The password must be 6 characters long. The first two characters must be numbers (0-9), the second two characters must be letters (A-Z), and the last two characters can be either numbers or letters. How many possible combinations are there for your password? (You may repeat letters or numbers)
87609600
According to the U.S. Census Bureau, 8.0% of 16-to 24-year-olds are high school dropouts. In addition, 2.1% of 16-to 24-year-olds are high school dropouts and unemployed. What is the probability that a randomly selected 16-to 24-year-old is unemployed, given he or she is a dropout?
You are creating a garland. The garland will consist of 8 beads. You have four different colored beads: 3 yellow, 1 green, 2 blue, and 2 black. How many ways can you order the beads on the garland?
1680
What does the A stand for in DNA?
Acid
Below are the different probabilities models. Explain which sets are probability models and which are not and why.
Set A: P(E1)=1/4 P(E2)=1/2 P(E3)=0 P(E4)=1/4
Set B: P(E1)=1/8 P(E2)=3/8 P(E3)=1/8 P(E4)=1/8
Set C: P(E1)=0.31 P(E2)=1.2 P(E3)=(-0.6) P(E4)=(.09)
In order for something to be a probability model, the individual probabilities have to be between 0 and 1 inclusive and the probabilities must all add to exactly 1.
You have extra three tickets to go to a concert. You have ten friends, and you will give three friends a ticket. How many possible groups of friends can you bring.
120
Suppose that you just received a shipment of six televisions and two are defective. If two televisions are randomly selected, compute the probability that at least one does not work?
0.6
You are in charge of creating a committee of 8 people. The committee needs to be made up of four men and four women. You are choosing from 8 possible men and 10 possible women. How many different committees are possible?
14,700
Penny's are only made of up 2% copper. What is the other 98%?
Zinc