Let PA 060 PB 025 and PA B 015 a Calculate PA B Round yo
| Let P(A) = 0.60, P(B) = 0.25, and P(A B) = 0.15. |
| a. | Calculate P(A | B). (Round your answer to 2 decimal places.) |
| P(A | B) |
| b. | Calculate P(A U B). (Round your answer to 2 decimal places.) |
| P(A U B) |
| c. | Calculate P((A U B)c). (Round your answer to 2 decimal places.) |
| P((A U B)c) |
| Let P(A) = 0.60, P(B) = 0.25, and P(A B) = 0.15. |
Solution
P(A) = 0.60, P(B) = 0.25, and P(A B) = 0.15
a) P(A|B) = P(A B) / P(B) = 0.15/0.25 =3/5= 0.60
b) P(A U B ) = P(A) + P(B) -P(A B) = 0.6 +0.25 - 0.15 = 0.70
c) P((A U B)c )= 1- P(A U B ) = 1-0.7 = 0.30
