Mixed
Probability
Combinatorics & Permutations
100

Explain how the events of having 4 children and having 2 children are mutually exclusive.

It's not possible to have both 4 and 2 of something at the same time.

100

True or False, the probability must equal to 1.

What is true?
100
True or False: Combinatorics are used when order matters.
What is False?
200

TRUE OR FALSE: Compound events CANNOT occur at the same time.

What is false?
200

A and B are events in a sample space S such that P(A)= 0.4, P(B)= 0.4, and P( A and B) = 0.2

Find the probability that A occurs but B does not.

What is 0.2?
200
Emily has 7 tops, 3 skirts, and 8 caps from which to choose an outfit. In how many ways can she select one top, one skirt, and one cap?
What is 168?
300

How many different 8-letter arrangements can be formed by using the letters of the word "ALPHABET"?

What is 40,320?

300

Number of Books: 1, 2 , 3, 4

Probability: 0.53, 0.24, 0.17, 0.06

Find the probability that someone has 3 or more books.

What is 0.23?

300

In how many ways can 12 dancers be awarded in first, second, and third place?

What is 1,320?

400

A baker randomly chooses 4 cupcakes from a batch of 18 cupcakes. How many ways can the baker make the selection?

What is 3,060?

400

In total, there are 685 juniors in Alpharetta High School. There are 325 juniors that do not own a car. What is the probability of juniors owning a car?

What is 0.53?

400

How many different passwords are possible with 3 letters and 3 digits/

17,576

500

9! lol

What is 362,880?

500

A person is baking a batch of 20 donuts. She puts chocolate filling in 13 of these donuts. What is the probability that she chooses a donut with chocolate filling and then another donut with chocolate filling if the donut is not replaced? 

Simplify the fraction.

What is 26/35?

500

What is 8! + 5! ?

What is 40440?

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