A university class is composed of x men and y women.

[BTGModeratorVI]

A university class is composed of x men and y women. If 2 men and 13 women join the class, and one person is selected at random from the enlarged class, then the probability that a male student is selected can be represented by –

A. x/y
B. x/(x + y)
C. (x + 2)/(y + 13)
D. (x + 2)/(x + y + 13)
E. (x + 2)/(x + y + 15)

Answer: E
Source: Economist GMAT

[Brent@GMATPrepNow]

A university class is composed of x men and y women. If 2 men and 13 women join the class, and one person is selected at random from the enlarged class, then the probability that a male student is selected can be represented by –

A. x/y
B. x/(x + y)
C. (x + 2)/(y + 13)
D. (x + 2)/(x + y + 13)
E. (x + 2)/(x + y + 15)

Answer: E
Source: Economist GMAT

If 2 men join the class, then the total number of men = x+2
If 13 women join the class, then the total number of women = y+13
To, the TOTAL number of students = (x+2) + (y+13) = x + y + 15

P(male is selected) = (x+2)/(x + y + 15)

Answer: E

Cheers,
Brent

[deloitte247]

Initially,
Total no of men =x
Total no of women =y
Total no of students=x+y
After 2 men and 13 women joined the class:Enlarged class
Total number of men= x+2
Total number of women=y+13
Total number of students=x+y+2+13=
Probability of selecting one male from the enlarged class=
$$\frac{x+2}{x+y+15}=$$
$$answer\ is\ Option\ E$$

[Scott@TargetTestPrep]

A university class is composed of x men and y women. If 2 men and 13 women join the class, and one person is selected at random from the enlarged class, then the probability that a male student is selected can be represented by –

A. x/y
B. x/(x + y)
C. (x + 2)/(y + 13)
D. (x + 2)/(x + y + 13)
E. (x + 2)/(x + y + 15)

Answer: E
Source: Economist GMAT

We are given that a university class is composed of x men and y women and that 2 men and 13 women join the class.

The number of men in the enlarged class is x + 2, and the total number of students in the enlarged class is x + y + 2 + 13.

Thus, the probability of selecting a man from the enlarged class is:

(x + 2)/(x + y + 15)

Answer: E