Roll... Sum of two dice... Even Odd Roll contains... Roll is greater than... Roll is less than...

Basic probability

Event space: The set of all possible outcomes. In this case, there are 36 possible rolls of the two dice.

Event: any subset of events from the event space. Here are some possible events: You roll (5,6). You roll (3,2). Your roll contains a 5. Your total roll is greater than 8.

For this simulation, we will represent these events more concisely as 56, 32, contains a 5, > 8.

The probability of an event is defined as follows: p(event) = # of outcomes where the event happens / total # of possible outcomes. For example, the probability of 56 is 1/36, because there is only one outcome where the roll is 56 (specifically, that outcome is the one where you roll 5 and 6!), while there are 36 total possible outcomes. We denote the probability of an event as p(event); thus, as a shorter way of saying "the probability of rolling 5,6 is 1/36", we would p(56) = 1/36.

Based on this definition, fill in values for the following probabilities (remember that hovering over the name highlights the relevant region of the event space):

p(32), p(contains a 5), p(> 8)

Test text

1,1

1,2

1,3

1,4

1,5

1,6

2,1

2,2

2,3

2,4

2,5

2,6

3,1

3,2

3,3

3,4

3,5

3,6

4,1

4,2

4,3

4,4

4,5

4,6

5,1

5,2

5,3

5,4

5,5

5,6

6,1

6,2

6,3

6,4

6,5

6,6

2

3

4

5

6

7

8

9

10

11

12

Even

Odd

1

2

3

4

5

6

1

2

3

4

5

6

7

8

9

10

11

2

3

4

5

6

7

8

9

10

11

12

13