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Sample Spaces and Events

List every outcome and probability becomes counting. An event is just a set of outcomes — and union, intersection and complement are the set operations you already know.

A: —B: —boththe event shown

Step 1 of 15Speed

Roll two dice, one red and one blue. Each cell of the grid is one outcome — (red, blue) — and the number in it is the sum. There are 6 × 6 = 36 outcomes, all equally likely, so each has probability 1/36.

|\Omega| = 6 \times 6 = 36, \quad P(\text{each outcome}) = \tfrac{1}{36}

|A|

0 / 36

|B|

0 / 36

|A ∩ B|

0 / 36

|A ∪ B|

0 / 36

|Aᶜ|

36 / 36

Sample Spaces and Events

List every outcome and probability becomes counting. An event is just a set of outcomes — and union, intersection and complement are the set operations you already know.

A: —B: —boththe event shown

Step 1 of 15Speed

|\Omega| = 6 \times 6 = 36, \quad P(\text{each outcome}) = \tfrac{1}{36}

|A|

0 / 36

|B|

0 / 36

|A ∩ B|

0 / 36

|A ∪ B|

0 / 36

|Aᶜ|

36 / 36

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Sample Spaces and Events

See also

Sample Spaces and Events

See also