PROBABILITY

# operations with events

If we have two events, A and B, of the same sample space E:

–**A is included in B**, ACB, if every outcome of A is an outcome of B.

–The **union event AUB** is the event that happens when either A or B occurs.

–The

**intersection event A∩B**is the event that happens when both A and B occur. These events are**incompatible**if A ∩B = ф–The

**complement of event A**, , is the event that happens when A doesn’t occurProperties:

**Exercise**: if we roll a die, let the events: A = {even}, B = {lower that 3}, c = {1,6}. Find the events:

a) AUB

b) A∩B

c) (A∩B)UC

d) Complement event of B

e) (AUB)∩C

f) A∩B∩C

Solutions: a) {1,2,4,6}; b) {2}; c) {1,2,6}; d) {3,4,5,6}; e) C = {1,6} f) Φ

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