Suppose you have events A₁,A₂,A₃,B such that P(A₁)=0.5,P(A₂)=0.35,P(A₃)=0.15,P(B∣A₁)=0.75,P(B∣A₂)=0.4, and P(B∣A₃)=0.7. Use the Law of Total Probability to find P(B). Do not round your final answer.