Question

A company has 100 salespersons, 40% of them are male and the rest are female. Sixteen of the male salespersons are bachelors. Of all the female salespersons, 36 of them are married. A salesperson is selected at random from the company. If it is known that the salesperson selected is single, what is the probability that the salesperson is a male?

Answer 1

2:3 ?
then ?

Answer 2

lemme clear this to restart the question over

Answer 3

alright

Answer 4

Ok so, it's looking for the male \(specifically\), meaning that anything female wise is not needed, so the question would be

A company has 100 salespersons, 40% of them are male and the rest are female. Sixteen of the male salespersons are bachelors. A salesperson is selected at random from the company. If it is known that the salesperson is single, what is the probability that the salesperson is a male.

Now, there are 100 salespersons, and there are 40% male and 60% female, easy math gets you 40 males and 60 females.

Now from the 40 males, 16 are bachelors (married)
Meaning that 24 males are single

So that means the probability between bachelors and single males is
\(16:24\) or \(2:3\)
Compared to females:
\(36:60\) or \(3:5\)

now, to find the probability between males and females, you do
\(2:3\) > \(2+3\) = \(\normalsize\color{red}{5}\)
\(3:5\) > \(3+5\) = \(\normalsize\color{cyan}{8}\)
5:8 so the probability between male and female is 5:8 now from there you can find you probability of males by getting the percentages between male (5) and female (8)

Answer 5

alright tq