Hi,

Notation: B* = complement of B

Remember that you can use: P(A) = P(A and B*) + P(A and B)

For example for the first row:

we know: Pr(A) = 0.7, Pr(B)=0.6 and Pr(AUB)=0.9

P(AUB) = P(A)+P(B)-P(A and B)

0.9 = 0.7+0.6 -P(A and B)

P(A and B) = 0.4

P(A and B*) = P(A)-P(A and B) = 0.7 - 0.4 = 0.3

P(B and A*) = P(B)- P(B and A) = 0.6 -0.4 = 0.2

Let me know if you need more help