Show:
This or That
Let me Count the Ways
Pick a Number Probability
Combination vs. Permutation
Tell Me a Story
100

Drawing an ace card or drawing a king card from a standard deck of cards are what type of events?

Disjoint (Mutually Exclusive)
100
The dinner menu offers 4 selections for appetizers, 8 options for main course, and 3 options for dessert.  How many different dinner options are available?
96
100
You select a number at random from 1 to 15.  Find the probability that the number is odd.
8/15 = 0.533
100
Nine of your classmates are running for class president, vice-president, and treasurer.

Permutation

9P3 = 504

100
There are 22 students in your science class.  Each student must present information to the class.  How many ways can the teacher have 6 students present?

22P6 = 53721360

200
Flipping a coin and then rolling a die are what type of events?
Independent
200
Your English teacher is creating a new seating chart.  There are five desks and five students remaining.  How many ways can the remaining students be arranged in those desks?

5!=5P5=120

200
You select a number at random from 1 to 15.  Find the probability that the number is prime.
6/15 = 2/5 = 0.4
200
Five friends want to go to Worlds of Fun with you.  You can only go with two.

Combination

5C2 = 10

200
There is a 30% chance that it will rain today and a 40% chance it will rain tomorrow.  If the the chance for rain today or tomorrow is 50%, what is the probability of rain today and tomorrow?
1/5 = 0.2
300
When two dice are rolled, what type of events are a sum of 10 or the numbers are the same?  Overlapping or Mutually Exclusive?
Overlapping
300
Find the number of ways to arrange the letters MYRIAD.

6!=6P6=720

300

You select a number at random from 1 to 15. Find the probability that the number is odd or even.

15/15 = 1
300
You identify 9 possible courses to take during the 2018-2019 school year.  The daily schedule only allows for 7 courses.

Permutation

9P7 = 181440

300
The probability of selecting a prime number from 1 to 100 is 0.25.  What is the probability of not selecting a prime number?
0.75
400

Find the coefficient of the term with x6 in the expansion of (x3+6)7.

7C5(x3)2(6)5=163296

400
Eighteen students are trying out for the Drill Team.  Only 12 will be chosen.  How many ways can students be chosen for the team?

18C12=18564

400

You select a number at random from 1 to 15. Find the probability that the number is less than 4 or greater than 13.

5/15 = 1/3 = 0.333
400
You are packing a suitcase for your vacation.  You have 7 sweaters to choose from.  How many ways can you pick 3 sweaters to pack?

Combination

7C3 = 35

400
In your math class there are 24 students.  Fifteen are juniors and five are soccer players.  Two of the students are soccer players who are juniors.  What is the probability that a randomly selected student is a junior or a soccer player?
3/4 = 0.75
500

Find the coefficient of the term with x4 in the expansion of (x-4)9.

9C5(x)4(-4)5=-129024

500
How many ways can you create a five-card hand with only red cards?

26C5=65780

500

You select a number at random from 1 to 15. Find the probability that the number is less than 7 or a multiple of 5.

8/15 = 0.533
500
It is suggested that you rotate the tires on your car at regular intervals.  You take your car to the shop and the tires are removed.  How many ways can the tires be placed on the car?

4! = 4P4 = 24

500
Find the probability of being dealt a five card hand with five red cards from a standard 52-card deck.

26C5/52C5 = 0.025