Discussion Assignment:

LetA

Abe the probability of not wearing glasses andB

Bbe the probability of having brown eyes. Suppose both events are independent such thatP(A)=0.90

P(A)=0.90andP(B)=0.70

P(B)=0.70.We want to find what proportion are not wearing glasses or have brown eyes (or both). This means we must findP(AB)

P(AB).

In this case, we would use our union formula:

P(AB)

My major is nursing

=

=

=

P(A)+P(B)P(AB)

0.90+0.700.63

0.97

P(AB)=P(A)+P(B)P(AB)=0.90+0.700.63=0.97

Hence,P(AB)=0.97

P(AB)=0.97(try it yourself before proceeding). Please create your own probability of the union example and explain whysubtractionis needed in the union formula. In other words, why would it be incorrect to just simply add the probabilities outright? Relate the example to your major.