I was having a few issues solving these 2 questions, my inital attempt was to solve this using the P(A∪B) = P(A) + P(B) - P(A∩B) fromula
Any hints or thoughts would be much appreciated
24 ( E ) : yes, P(A∪B) = P(A) + P(B) - P(A∩B) is the correct formula to be used. but since we don’t know the value of P(A∩B) we cannot calculate P(A∪B). hence the answer cannot be determined.
23 ( D) : again formula to be used is P(A∪B) = P(A) + P(B) - P(A∩B).
working:
let A be Catholic senators and B be Democratic in the senators.
P(A∪B) = P(A) + P(B) - P(A∩B)
P(A∪B) = 12 + 62 - 5
P(A∪B) = 69
but we have to calculate "neither Catholic nor Democratic "
∴ total senators - P(A∪B)
= 100 - 69
= 31 ( D )