(i) Given : P(A) = 0.3, P(B) = 0.2 , P(A ∩ B) = 0.1
To find : P(\(\overline{A}\)∩B)
Formula used : P(\(\overline{A}\)∩B) = P(B) - P(A ∩ B)
Substituting in the above formula we get
P(\(\overline{A}\)∩B) = 0.2 – 0.1
P(\(\overline{A}\)∩B) = 0.1
P(\(\overline{A}\)∩B) = 0.1
(ii) Given : P(A) = 0.3, P(B) = 0.2 , P(A ∩ B) = 0.1
To find : P(A∩\(\overline{B}\))
Formula used : P(A∩\(\overline{B}\)) = P(A) - P(A ∩ B)
Substituting in the above formula we get,
P(A∩\(\overline{B}\)) = 0.3 – 0.1
P(A∩\(\overline{B}\)) = 0.2
P(A∩\(\overline{B}\)) = 0.2