In a certain college, 100 out of 500 males are above 16 years old and

Question

In a certain college, 100 out of 500 males are above 16 years old and 80 out of 400 females are above 16 years of age. What is the probability that a student selected for a particular grant is a male or is above 16 years of age?

A. 13/45

B. 1/3

C. 7/15

D. 29/45

E. 7/9

A. 13/45

B. 1/3

C. 7/15

D. 29/45

E. 7/9

Abhajadon · Answer

P(AUB) = P(A) +P(B) -P(AnB)
 = 5/9 + 1.8/9 - 1/9
 = 5.8/9
 = 29/45

IMO D

Fedeilking · Answer

P(male) = 500/900
P(over 16) = 180/900
P(male and over 16) = 100/900
P(male or over 16) = 5/9 + 1/5 - 1/9 = 29/45

Prateekrocks · Answer

Probability(male U above 16) = P(A)+P(B)-P(AnB)= 500/900+180/900-100/900
= 50/90+18/90-10/90
= 58/90
= 29/45
Option D

Posted from my mobile device

MathRevolution · Answer

Total males: 500

Total females: 400

Total: 500 + 400 = 900

Probability(a male or is above 16 years of age): P(Male) + P( above 16 years) - P(Both)

=>  \frac{500 }{ 900} + \frac{180 }{ 900} - \frac{100 }{ 900}

=>  \frac{5}{9} + \frac{1}{5} - \frac{1}{9}

=>  \frac{29}{45}

Answer D

ScottTargetTestPrep · Answer

Solution:
 
The total number of students is 500 + 400 = 900. The number of students who are male or above 16 years of age is:

#(Male) + #(Above 16 years of age) - #(Male and above 16 years of age)

= 500 + (100 + 80) - 100

= 580

Therefore, the probability that a student selected for a particular grant is a male or is above 16 years of age is 580/900 = 29/45.

Answer: D

In a certain college, 100 out of 500 males are above 16 years old and

Prep Toolkit

Top 5 GMAT Debrief Videos

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

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Problem Solving (PS) Questions

In a certain college, 100 out of 500 males are above 16 years old and

Prep Toolkit

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

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards