Question 1094988
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Given:
P(A) = 0.7
P(B) = 0.3
P(B|A) = 0.4


Let
x = P(A and B)


Use the conditional formula to say
P(B|A) = P(B and A)/P(A)
P(B|A) = P(A and B)/P(A)
0.4 = x/0.7


Solve for x
0.4 = x/0.7
0.7*0.4 = 0.7*(x/0.7)
0.28 = x
x = 0.28
P(A and B) = 0.28


Final Answer: <font color=red>0.28</font>
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