According to the general equation for conditional probability, if p (a^b') = 1/6 and p (b') = 7/12, what is the value of p (a[b) ?

P (B) = 1 - P (B') = 1 - (7/12) = 5/12 P (A∩B) = P (A∩ B′) / P (B′) * P (B) / 1

Plugging values into the last equation we get: P (A∩B) = 1*12*5 / 6*7*12 = 542

Now we can make use of the following formula P (A|B) = P (A∩B) / P (B) by plugging in the values that we have found.

5/42 is the numerator and the denominator is 5/12.

The bottom (denominator) is P (B) which equals 5/12.

P (A|B) = 5*12 / 42*5 = 6/210

6/210 = 2/7

p (a[b]) = 2/7