Annie and her friends start a Doubles Club. The numbers below show information about all the members of the club. Boys Girls Juniors 6 8 Seniors 16 12 Express t
Question
2 Answer

1. User Answers Plebdough
20/42 + 14/42  8/42 = 26/42 
2. User Answers JeanaShupp
Answer: [tex]\dfrac{13}{21}[/tex]
Stepbystep explanation:
The given table :
Boys Girls
Juniors 6 8
Seniors 16 12
Let G denote the event of choosing girl and J denote the event of choosing Junior.
Number of girls : 8+12=20
Number of Juniors : 6+8=14
Members that are girl and junior = 8
Total students : 6+8+16+12=42
The probability of choosing girl is given by :
[tex]P(G)=\dfrac{20}{42}[/tex]
The probability of choosing junior is given by :
[tex]P(J)=\dfrac{14}{42}[/tex]
The probability of choosing a girl and junior is given by ;
[tex]P(G\cap J)=\dfrac{8}{42}[/tex]
Now, the probability choosing a girl or a junior is given by :
[tex]P(G\cup J)=P(G)+P(J)P(G\cap J)\\\\=\dfrac{20}{42}+\dfrac{14}{42}\dfrac{8}{42}\\\\=\dfrac{26}{42}=\dfrac{13}{21}[/tex]
Hence, the probability that Annie chooses a girl or a junior= [tex]\dfrac{13}{21}[/tex]