Question

A local college student will be randomly selected to attend a leadership conference in Washington, D.C. There are 2020 local college students, of which 40% are male. 480 of the college students are graduate students, and half of the graduate students are female. Which of the following best represents the probability that the selected college student will be a male student or a graduate student? A)48 percent B) 52 percent C) 42 percent D)56 percent

Answer 1

Graduated : 610 among which 305 are (F and graduated) and 305 are (Male and graduated)
40% of 2110 are Male : 844 ==> (Male and non graduated) : 844 - 305 = 539
therefore :
Male or Graduated = (Male and non graduated) + Graduated (M or F)
= 539 + 610
= 1149
and therefore :
1149/2110 # 54.45%

C. 54% <--------- ANSWER

hope it' ll help !!

Answer 2

It took me some time :) 
Out of 2020 student there are 480 graduates and 1540 non graduates. 
From the 480 graduates there are 240 female graduates. 
So the chance to pick a female graduate is 240/2020
Apart from the female graduates all the male students are good for us. 
We know that there are 2020*0.4 males= 808
So to pick a male is 808/2020

P=(240+808)/2020= 0,5188 (rounded to 52%)