Answer:0.68
Step-by-step explanation:
Given
Total of 600 employees out of which 400 had college degree ,100 are single
and 60 were single graduates
therefore out of 100, 60 were single and rest 40 are single undergraduate
and out of 400, 60 were single graduates thus 340 are married graduate.
Now out of 600, 100 were single i.e. 500 is married
thus Probability that an employee is married and has a college degree is
=[tex]\frac{Favourable outcome }{Total outcome}[/tex]
P=[tex]\frac{340}{500}[/tex]=0.68
The correct value for the probability that an employee of the company is married and has a college degree is 0.68
Using the parameters :
Number of single college graduates = 60
Number of singles = 100
Number who has college degrees = 400
The probability that an employee is married and has a college degree can be expressed thus :
n(CnM) = Number with college degree - Number of single college graduate
n(CnM) = 400 - 60 = 340 students
n(M) = total number - single
n(M) = 600 - 100 = 500
P(M|C) = [tex]\frac{340}{500} = 0.68 [/tex]
Therefore, the probability that an employee of the company is married and has a college degree is 0.68
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