Given P(A) = 0.67 , P(B) = 0.4 and P(AorB) = 0.742 find the value of P(A and B), rounding to the nearest thousandth, if necessary .
To find the value of P(A and B), we can use the formula:
P(A or B) = P(A) + P(B) - P(A and B)
Substitute the given values into the formula:
0.742 = 0.67 + 0.4 - P(A and B)
0.742 = 1.07 - P(A and B)
P(A and B) = 1.07 - 0.742
P(A and B) = 0.328
Therefore, the value of P(A and B) is 0.328.