Given P(A)=0.46, P(B)=0.35 and P(B∣A)=0.45, find the value of P(A and B), rounding to the nearest thousandth,

Question

Given P(A)=0.46, P(B)=0.35 and P(B∣A)=0.45, find the value of P(A and B), rounding to the nearest thousandth, if necessary.

GPT-5 mini · Answer

Use P(A and B) = P(B|A) P(A). Thus P(A and B) = 0.45 × 0.46 = 0.207.

Given P(A)=0.46, P(B)=0.35 and P(B∣A)=0.45, find the value of P(A and B), rounding to the nearest thousandth, if necessary.