Random Math
Probability
Cards
Permutations
Mixed
100

5!/3!

20

100
What does a probability of 1 mean?

100% chance

100
What is the probability of pulling a black ace from a deck?

2/52 or 1/26

100

In permutation notation P(n,k), what are "n" and "k" ?

n = number of things/objects

k = spaces/slots

100

A coin is tossed 3 times, how many possible outcomes are there?

2 * 2 * 2 = 8

200

What are the possible outcomes for flipping a coin two times?

HH
HT
TH
TT

200

Is it possible to have a negative probability? (ex. -2/3)

No

200

Probability of pulling a queen OR a 2


8/52 or 2/13

200

How many unique ways are there to arrange the letters in the word SONG?

4! = 24

200
Calculate 9!/7!

72

300

A card is drawn at random from a standard deck. What is the probability that card is the “5 of clubs”?

1/52

300

Which is NOT an example we've used for probability so far?

a. Cards

b. Dice

c. License Plates

d. Spinner

License Plates
300

Probability of pulling a red 7 AND a Jack

8/52 or 2/13

300

Calculate the permutation: 

(3,2)

6

300

Which probability is lower? 12/22 or 3/5?

12/22

400

What is it called when a number has an exclamation point at the end? (ex 6!)

Factorial


400

Which is better, a probability of 3/7 or 6/10?

6/10

400

You are playing only one suit. What is the probability of randomly selecting a card lower than 6?
(Ace counts as #1)

5/13

400

How many different 7-character license plates can you create with letters and digits 0-9?

(first 3 spaces must be letters and the final 4 must be digits) 

26 x 26 x 26 x 10 x 10 x 10 x 10

400

How many different ways are there to arrange a 6-person lineup from 10 different people? Give your answer as a number. 

151,200

500

Calculate 788! / 787!

788

500

What is the probability of rolling an odd number and then a 5 on a pair of dice?

3/6 x 1/6 = 3/36 or 1/12

500

You are playing with one suit. You choose two cards randomly (10 and 7). What is the probability you will pick a card higher than 5 on your next draw?

6/11

500

How many 3-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed?

Give your answer as a numeric answer.

P(10,3)= 720


500

There is a 7-section spinner numbered 1-7. What is the probability of this EXACT event happening in this order:

First spinning an odd number, then spinning a number lower than 3, then spinning a 9?