In a company 60% of the senior managers have MBA.out of the rest 40%have MBA.The company has 20% senior managers.what is the probability that an MBA that you meet is a senior manager?
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Let say the total strength of company is x.
Senior Manager = 20% of x = x/5
Employees = 80% of x = 4x/5
°°°°°°°
60% of the senior managers have MBA,
60% of x/5 = 6x/50
40% of Employees have MBA,
40% of 4x/5 = 16x/50
°°°°°°°°
Total number of people in company with MBA
= 6x/50 + 16x/50
= 22x/50
°°°°°°°°
Now,
The probability that an MBA that you meet is a senior manager
= (6x/50)/(22x/50)
= 3/11
= 0.27
I hope that you understand this ☺️✌️
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