A focus group is currently made up of x men and y women. If 2 men and

Question

A focus group is currently made up of x men and y women. If 2 men and 4 women are added to the group, and if one person is selected at random from the larger focus group, then what is the probability that a man is selected?

x men
y women

x+2+y+4 is the total
=x+y+6

x+2 is the number of men

so (x + 2)/(x + y + 6)

E. (x + 2)/(x + y + 6)

A. x/(x + 2)
B. x/(x + y)
C. (x + 2)/(x + y + 2)
D. (y + 4)/(x + y + 6)
E. (x + 2)/(x + y + 6)

peachfuzz · Answer

A focus group is currently made up of x men and y women. If 2 men and 4 women are added to the group, and if one person is selected at random from the larger focus group, then what is the probability that a man is selected?

x men
y women

x+2+y+4 is the total
=x+y+6

x+2 is the number of men

so (x + 2)/(x + y + 6)

E. (x + 2)/(x + y + 6)

x men
y women

x+2+y+4 is the total
=x+y+6

x+2 is the number of men

so (x + 2)/(x + y + 6)

E. (x + 2)/(x + y + 6)

EMPOWERgmatRichC · Answer

HI All,

This question can be solved conceptually, algebraically or by TESTing VALUES. Typically, I would not use the number 1 in these types of situations, but the answer choices are suitably unique, so using that number shouldn't be an issue.

We're told that a focus group is currently made up of X men and Y women. We're then told that 2 men and 4 women are added to the group. We're asked if one person is selected at random from the larger focus group, then what is the probability that a man is selected.

IF...
X = 1
Y = 1
Total Men = 1+2 = 3
Total Women = 1+4 = 5
Total People = 8

Probability of selecting a man is 3/8 when X=1 and Y=1

You should be able to find the correct answer without doing too much work...

Final Answer:  E

GMAT assassins aren't born, they're made,
Rich

TeamGMATIFY · Answer

The question might look complex at first sight, but if we go ahead and solve, it is a straight forward selection probability quesiton

Given  : Number of Men = x, Number of Women = y
2 men and 4 women are added.
Final number:
Men = x + 2, Women = y +4

Required  : P(selection of 1 man)

P(selection of 1 man) =  \frac{{total men}}{{total people}} = \frac{{x + 2}}{{x + y + 6}} 
Option E

bumpbot · Answer

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A focus group is currently made up of x men and y women. If 2 men and

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A focus group is currently made up of x men and y women. If 2 men and

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

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