Question

For the members of a neighborhood meeting group, the probability of randomly selecting a member who likes to cook is 42%, the probability of randomly selecting a member who likes to sew is 23%, and the probability of randomly selecting a member who likes to both cook and sew is 7%.
What is the probability of randomly selecting a member who likes to cook or likes to sew?

Answer 1

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

$P(C\cap S)=7\%$

As we know the "Probability rules " :

$P(C\cup S)=P(C)+P(S)-P(S\cap C)\\\\P(C\cup S)=42+23-7\\\\P(C\cup S)=58$

So, Probability of randomly selecting a member who likes to cook or likes to sew = 58%