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In the graduating class of a certain college, 48 percent of

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In the graduating class of a certain college, 48 percent of [#permalink] New post 20 Mar 2012, 08:39
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In the graduating class of a certain college, 48 percent of the students are male and 52 percent are female. In this class 40 percent of the male and 20 percent of the female students are 25 years old or older. If one student in the class is randomly selected, approximately what is the probability that he or she will be less than 25 years old?

A. 0.9
B. 0.7
C. 0.45
D. 0.3
E. 0.25
[Reveal] Spoiler: OA

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Re: In the graduating class of a certain college, 48 percent of [#permalink] New post 20 Mar 2012, 12:06
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enigma123 wrote:
In the graduating class of a certain college, 48 percent of the students are male and 52 percent are female. In this class 40 percent of the male and 20 percent of the female students are 25 years old or older. If one student in the class is randomly selected, approximately what is the probability that he or she will be less than 25 years old?

A. 0.9
B. 0.7
C. 0.45
D. 0.3
E. 0.25


Percent of students who are 25 years old or older is 0.4*48+0.2*52=~30, so percent of people who are less than 25 years old is 100-30=70.

Answer: B.

This can also be done with an approximation method. Since percent of men and women are almost the same (48% and 52%) then percent of students who are 25 years old or older will be close to the average of 40% and 20%, so close to 30%, which makes percent of people who are less than 25 years old close to 70%.

Answer: B.
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Re: In the graduating class of a certain college, 48 percent of [#permalink] New post 07 Jun 2013, 06:03
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Re: In the graduating class of a certain college, 48 percent of [#permalink] New post 07 Jun 2013, 06:22
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I like to make diagrams. For me, it is easy to see clear steps this way
Attachment:
Class under 25.jpg
Class under 25.jpg [ 27.08 KiB | Viewed 3052 times ]

Step 1: Fill in what you know. 48% male, 52% female
Step 2: Do known calculations: 48% x 40% = 19.2%. 52% x 20% = 10.4%
Step 3: Fill in the rest of the chart as necessary. In this case, you just need the total 25 and older (19.2% + 10.4% = 29.6%) and under 25 (100-29.6%).
Step 4: Find the answer. The % under 25 is 70.4% which is approximately 70%

Answer is B
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Re: In the graduating class of a certain college, 48 percent of [#permalink] New post 08 Jun 2013, 23:48
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Since the numbers are in % form,let’s assume that the total base size of students is 100


Arranging them into table form,as calculation will be easier

Male Female Total
< 25 years old
29 42 71


>= 25 years old
(40/100)*48 = 19 (20/100)*52 =10 29


Total
48 52 100



Probability = Favourable possibilities/Total possibilities

= (29+42)/100

= (71)/100 = 0.71
Re: In the graduating class of a certain college, 48 percent of   [#permalink] 08 Jun 2013, 23:48
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