Incompatible Events When 2 events have no chance of happening at the same time. The chances are 0. Example: A die is rolled Event A: Observing an outcome.

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Incompatible Events When 2 events have no chance of happening at the same time. The chances are 0. Example: A die is rolled Event A: Observing an outcome less than 3 Event B: Observing and outcome greater than 4

A B Rolling a number less than 3 Rolling a number greater than 4

Compatible Events The probability that 2 events happen at the same time is probable or 1. Example: A die is rolled Event A: Observing an outcome less than or equal to 2 Event B: Observing an outcome greater than or equal to 2

Less than or equal to 2 Greater than or equal to 2

Finding probabilities Use the Venn diagram to find the probability that someone picked at random: a) eats meat, b) eats fish, c) eats neither, d) eats only fish, e) eats both. ‘’

Questions 120 students in a school can opt for one or two languages for IB. 75 choose Japanese and 35 choose Chinese. 20 do neither. a) Draw a Venn diagram to show this information. Use your diagram to find the probability of choosing a student who, b) takes only Japanese, c) takes both languages,.

Incompatible events In a school of 100 boys the boys can choose to do either netball or rugby, or neither. 12 do neither, 32 do rugby and 56 do netball. Complete a Venn diagram to show this information. What does this tell us about rugby and netball in this school? They are Incompatible Events are Incompatible if: