Question #290f5 Algebra Polynomials and Factoring Probability of Compound Events 1 Answer Ratnaker Mehta Sep 6, 2016 #P(A | B)=5/8=0.625, and, P(AnnB')=0.175# Explanation: We know that, #P(AuuB)=P(A)+P(B)-P(AnnB)..........(1)#. But, we are given that, #P(AuuB)=3P(AnnB)#. #:." By "(1), 3P(AnnB)=P(A)+P(B)-P(AnnB), i.e., 4P(AnnB)=P(A)+P(B)# Here, #P(A)=0.3, P(B)=0.2", so that, "P(AnnB)=0.5/4=1/8...(star)# Now, #P(A | B)=(P(AnnB))/(P(B))=(1/8)/(1/5)=5/8=0.625# #P(AnnB')=P(A-AnnB)=P(A)-P(AnnB)=0.3-0.125=0.175#. Enjoy Maths.! Answer link Related questions What is Probability of Compound Events? How do you calculate the probability of compound events? What is the probability you will flip a head and roll a four if you flip a coin and roll a die... Is rolling a die and spinning a spinner an independent or dependent event? What does mutually exclusive mean? Is rolling an even number and a multiple of three on one die mutually exclusive or inclusive? If 2 cards are drawn from a deck of cards, how do you find P(heart or club)? What is the probability of drawing, in order, 2 red, 1 blue, and 2 yellow marbles if a bag... Is choosing an orange and a fruit from a basket mutually exclusive or inclusive? Question #f965a See all questions in Probability of Compound Events Impact of this question 1676 views around the world You can reuse this answer Creative Commons License