Saturday 19 February 2022

An evenly weighted game spinner has 5 numbers on it, labeled and contained in a colored piece of the spinner:

Question
An evenly weighted game spinner has 5 numbers on it, labeled and contained in a colored piece of the spinner:

Three are colored red: 1,2,3, (abbreviated R);
Two are colored blue: 4, and 5 (abbreviated B).
Consider the Venn diagram below. Each of the dots outside the Venn diagram represents a number that the spinner may land on. Place the dots in the appropriate event given the information below (you may not use all of the dots), then determine if the events are mutually exclusive.

Event A: Spinning an even number.
Event B: Spinning a number greater than 3.

 

A and B are not mutually exclusive. We say that two events are mutually exclusive if they share no outcomes, that is, P(A and B)=0. Here, A and B share an outcome: {4}. Thus, P(A and B)≠0 and the events are not mutually exclusive. 

Thanks

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