Show:
What's this Equation?
Addition Law and Conditional Law
Product Law
Permutation v Combination
Binomial v. Poisson
100

What is P(E1 + E2) = P(E1) + P(E2)?

What is Addition Law

100

If P(A)=0.40

 P(B)=0.30

 P(A B)=0.10

find  P(A+B)

What is 0.6

100

A fair coin is flipped twice. What is the probability of getting heads on both flips?

What is 25%

100

Which formula is used when order matters: permutation or combination?

What is Permutation?

100

What conditions are need for the problem to need the Poisson equation?

What is number of accidents and timeframe

200

A student can take either Chemistry or Physics.
P(C)=0.55

P(P)=0.45

 P(C P)=0.20

What is the probability that the student takes Chemistry or Physics?

What is 0.80

200

If A and B are independent, and

P(A)=0.4

P(B)=0.5

find P(A B).

What is 0.2

200

Solve 6!

What is 720

200

Write the Poisson probability formula.

P(r)=(e-u

300

P(E1  E2) = P(E1)  P(E2)?

What is Product law?

300

A class has 60 students. Of those, 24 are Chemistry majors. Of the Chemistry majors, 18 are also in the honors program.

What is the probability that a student is in the honors program given that they are a Chemistry major?

What is 0.75

300

How many ways can you arrange 3 people chosen from a group of 7 if the order matters?

What is 210

300

A basketball player makes a free throw 80% of the time. She attempts 10 free throws.

What is the probability she makes exactly 8?

What is 30.20%

400

What is nCr = (n!) / ((n-r)!-r!)?

Combination

400

Suppose:

P(A)=0.50,P(B)=0.40, and P(A B)=0.20

Find:

P(A∣B)

and

P(B∣A). 

What is 0.5 and 0.4

400

How many different committees of 3 people can be selected from a group of 10?

What is 120

400

A website receives an average of 3 errors per day.

What is the probability of receiving zero errors on a particular day?

What is 4.98%

500

P(exactly r successes) = nCrpr(1-p)n-r

What is a Binomial equation?

500

Suppose:

P(A)=0.50

and

P(B)=0.40.P


You are also told:

P(AIB)=0.25

Are A and B independent? Show mathematically how you know.

What is No. P(A*B) is not equal to P(AIB)=0.25

500

A club has 12 members.

You need to select:

  • a president
  • a vice president
  • a secretary

How many different ways can the three positions be filled?

What is 1320

500

A manufacturing process has a 3% defect rate. A sample of 20 products is selected.

What is the probability that at most 1 product is defective?

Hint: "At most 1" means you need more than one probability.

What is 88.02%