Bases and Probability

Adding Bases

100

10101 + 1101 

base of 2

100010

200

432 + 23 

base of 5

1010

300

1122 + 2120

base of 4

3302

400

4172 + 4464

base of 8

10656

500

1T3 + E4

base of 16

257

Subtracting Bases

100

10110 - 1101

base of 2

1011

200

102 - 21 

base of four

111

300

10312 - 2320

base of 5

2442

400

13002 - 6027

base of 8

4753

500

T532 - 53TE

base of 12

5143

Multiplying Bases

100

101 x 11

base of 2

1111

200

3210 x 32

base of 4

213120

300

534 x 14

base of 6

13204

400

3534 x 3
base of 8

13024

500

8612 x 3E

base of 12

293T6T

Dividing Bases

100

11010 / 101
base of 2

101

200

143 / 3

base of 5

31

300

32 / 4 

base of 5

4 R 1

400

1240 / 14

base of 8

110

500

1800 / 24

base of 12

T0 

Basic Probability

100

What is the probability of rolling a 6 with a fair six-sided die?

1/6

200

If you flip a fair coin twice, what is the probability of getting exactly one head?

1/2

300

A bag contains 5 red marbles and 3 blue marbles. If you randomly pick one marble, what is the probability it is red?

5/8

400

If you draw a card from a standard deck of 52 cards, what is the probability that it is a heart or a diamond?

1/2 (or 26/52)

500

You have 5 green balls, 3 red balls, and 2 yellow balls in a bag. What is the probability of picking a green ball?

5/10 (or 1/2)