Question

Microsoft offers its employees one of three pension splans, A, B, or C. Past history shows that 70% of employees choose plan A, 20% choose plan B, and 10% choose plan C. Also, 60% of those who choose plan A are married, 20% of those who choose plan B are married, and 60% of those who choose plan C are married. If a married employee is selected at random, what is the probability the employee is in plan A?

Answer 1

i think the answer is 0.81

Answer 2

Baye's theorem.

\(\dfrac{0.7\times 0.6 }{0.7\times0.6+ 0.2\times 0.2+0.1\times 0.6}\)

Answer 3

you're correct :)

Answer 4

thakn you for helping

Answer 5

welcome ^_^

Answer 6

http://www.wolframalpha.com/input/?i=%5Cdfrac%7B0.7%5Ctimes+0.6+%7D%7B0.7%5Ctimes0.6%2B+0.2%5Ctimes+0.2%2B0.1%5Ctimes+0.6%7D

80.77%