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