60% of the employees of a company are college graduates. Of these, 10% are in sales. Of the employees who did not graduate from college, 80% are in sales. The probability that an employee selected at random is in sales, is:
0.38
Use the Law of Total Probability by splitting employees into graduates (60%) and non-graduates (40%).
Step 1 — Sales among graduates:
\(P(\text{Sales}\cap\text{Grad}) = 0.60 \times 0.10 = 0.06\)
Step 2 — Sales among non-graduates:
\(P(\text{Sales}\cap\text{Non-Grad}) = 0.40 \times 0.80 = 0.32\)
Step 3 — Total probability:
\(P(\text{Sales}) = 0.06 + 0.32 = 0.38\)
Therefore, the required probability is 0.38.
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