Two events A and B are such that P(A)2, P(B).3, and P(AUB) -4. Find following: a...
Two events A and B are such that P(A) = 0.4, P(B) = 0.5, and P(AUB) = 0.7. (a) Find P(A n B). 0.2 (b) Find P(AUB). 0.8 (c) Find P(An B). 0.3 (d) Find P(AB). (Enter your probability as a fraction.) 1/2
5. Suppose A, B are events such that P(A) = 1/3, P(B) = 1/4, find P(AUB) under each of the following assumptions: (a) If A and B are mutually exclusive (disjoint). (b) If A and B independent.
#5. Let A and B be events where P(A) 1/3 and P(B)-14. Show bounds for P(AUB) and PANB)
let A and B be any 2 events with p(A)=0.2; P(AUB)=0.35; P(A and B)= 0.15 find P(A|B) QUESTION 25 Let A and B be any 2 events with p(A) 0.2; P(AUB) 0.35; P(A and B) 0.15 a.0.25 Find P(A|B) b.0.5 c.0.6 d.0.4
2. a) Let A and B be two events such that P(A) 4, P(B) .5 and P(AnB) 3 Find P(AUB). b) Let A and B be two events such that P(A)-5, P(B) 3 and P(AUB) .6. Find P(An B)
assume: p(a)=.4,p(b)=.7 and p(AuB=.3. find p(AuB) a. .4 b..8c..2 d. .1
2.30 Probability of independent events. Given two independent events A and B with PIA 0.3, PB 0.4, find (a) P[AU B; (b) P[AB); (c) P[BIA); (d) P BA)
3. Let A and B be events. Show that P(ABl(AUB)) P(AB|A). When does equality hold?
3. Let A and B be events. Show that P(AB(AUB)) P(ABA). When does equality hold?
2 P(A) = = ,P(B) = 1,P(A1B) ,P(AB) + P(BA) Find P( AUB 3