The number of people who are female OR study French OR both is 55 and the probability that any person is female OR studies French OR both is 11/16. This can be obtained by Venn diagram formula of sets and calculating the values.
What is the Venn Diagram Formula ?
For any two sets A and B, n(A∪B)=n(A)+n(B)-n(A∩B)
Calculate the number of people who are female OR study French OR both:
Given that,
Number of female = 43
Number of people studying French =28
Number of female studying French = 16
The number of people who are female OR study French OR both,
n(studies French ∪ Female)
= n(studies French) + n(Female) - n(studies French ∩ Female)
=28+43-16 = 55
Calculate the probability that any person is female OR studies French OR both:
Given that,
Total number of people = 80
By using formula of probability,
P(Female∪studies French)= [tex]\frac{55}{80}[/tex]=[tex]\frac{11}{16}[/tex]
Hence the number of people who are female OR study French OR both is 55 and the probability that any person is female OR studies French OR both is 11/16.
Learn more about Venn diagram formula here:
brainly.com/question/310191
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