Respuesta :
Answer: Probability of randomly selecting a member who likes to cook or likes to sew = 58%
Step-by-step explanation:
Since we have given that
Probability of a randomly selecting a member who likes to cook=P(C) = 42%
Probability of a randomly selecting a member who likes to sew =P(S)= 23%
Probability of a randomly selecting a member who likes to both cook and sew
[tex]P(C\cap S)=7\%[/tex]
As we know the "Probability rules " :
[tex]P(C\cup S)=P(C)+P(S)-P(S\cap C)\\\\P(C\cup S)=42+23-7\\\\P(C\cup S)=58[/tex]
So, Probability of randomly selecting a member who likes to cook or likes to sew = 58%