Q1: Q. Two coins are tossed once them find the P(A/B) given that. i) A: Tail appears on one coin. B: One coin shows head. ii) A: no tail appear B: no head appears. Share with your friends Share 0 Lovina Kansal answered this Dear student 1) Two coins are tossed onceLet heads be denoted by 'h'and tails be denoted by 't'S=h,h,h,t,t,h,t,tWe nee to find the probability that tail appears on one coin,if we know thaone coin shows head.Let B: one coin shows headA: Tail appears on one coinWe need to find P(A|B)A=h,t,t,hP(A)=24=12and B=h,t,t,hP(B)=24=12Also, A∩B=h,t,(t,h)PA∩B=24=12Now, PA|B=PA∩BP(B)=1/21/2=12) S=h,h,h,t,t,h,t,tWe need to find the probability that no tail appears,if known that no head appearsB: no head appearsA: no tail appearsWe need to find P(A|B)E={(h,h)} ⇒P(E)=14F={(t,t)} ⇒P(F)=14Also, A∩B=ϕSo,PA∩B=0Now, P(A|B)=PA∩BPB=014=0So, P(A|B)=0 Regards 0 View Full Answer
