Question

Students Liking a Class The probability that students A and B will like a class is 2/5 and 175 respectively. Find P( A and B) if The probabilities are of the events are independent The probability that B likes the class given that A likes the class is 1/2 Students Liking a Class The probability that students A and B will like a class is 2/5 and 1/5 respectively. Find P( A or B) if The probabilities of the events are mutually exclusive The probability that A and B likes the class is 1/5

Answer 1

0 Ginen P(A) = 2 3 P(B) = 1 S E A and B ent are independent even PCANB)- PCA). P(B) = (6) th Then * PLAN B)=2 25

lil Ginen P(BIA)=1 2 PLBIA) = P(BNA) P(A) And P(A)- 2 2 를 so peoMA) - Pla PLA) = ( ) ( ² ) = // > P(BOA) = P(AMB) = Aug

P(A) = 2 P(B) == & P(A or B) =P(AUB) - WiFA and B are mutually exclusive: for mutially exclusive enents- PlA or B) = PlAlt P (B). a 5 + -In 3. 5 PlA or B) with aug W Ginen P(AUB) - S Then Plan B ) = PIAS+P(1) - P (AUB) 능 + -In PIANB) = A 5 Ang