can someone show a step by step way how you get this answer , please can you pro

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can someone show a step by step way how you get this answer , please can you provide a table how it comes to this conclusion

thanks !!
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Note: Answer the Question(s) by Using the TI-30XA Calculator IMPORTANT: Make sure you carry all decimals until you reach your answer, then round to four decimal According to a recent report, 60% of U.S. college graduates cannot find a full time job in their chosen profession. Assume 57% of the college graduates who cannot find a job are female and that 26% of the college graduates who can find a job are female. Given a male college graduate, find the probability he cannot find a full time job in his chosen profession? See exercise 58 on page 220 of your textbook for a similar problem.) | Probability0457 0.4657 Grade My Work!

Explanation / Answer

Let

C = can find a job
C' = cannot find a job
M, F = male, female

Hence, it is given that

P(C') = 0.6
P(F|C') = 0.57
P(F|C) = 0.26

Hence,

P(M) = P(C) P(M|C) + P(C') P(M|C') = (1-0.6)*(1-0.26) + 0.6*(1-0.57) = 0.554

Hence,

P(C'|M) = P(C') P(M|C')/P(M) = 0.6*(1-0.57)/0.554 = 0.465703971 [ANSWER]

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