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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

Respuesta :

123455555
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 !!

The probability that the selected college student will be a male student or a graduate student will be [tex]0.52[/tex] or [tex]52\%[/tex] .

What is random probability ?

Random probability is a type of probability in which a random number or person is selected and whose outcome can not be predicted.

Random probability [tex]=\frac{Number\ of\ Favorable\ outcome}{Total\ number\ of\ outcome}[/tex]

We have,

Total number of students [tex]=2020[/tex]

Number of male students [tex]=40\%[/tex]

                                           [tex]=40\%\ * 2020=808[/tex]

Graduate students [tex]=480[/tex]

Number of female Graduate students [tex]=\frac{480}{2} =240[/tex]

Number of male Graduate students [tex]=480-240 =240[/tex]

So,

Now, We have male graduate student and total graduate student,

So,

Non- graduate male student [tex]= 808-240=568[/tex]

Now,

Random probability[tex]=\frac{Number\ of\ (Male\ student\ +\ Graduate\ student)}{Total\ number\ of\ students}[/tex]

                                   [tex]=\frac{568+480}{2020}[/tex]

                                   [tex]= 0.52[/tex] i.e. [tex]52\%[/tex]

So, the probability that of the selected college student [tex]0.52[/tex] or [tex]52\%[/tex] .

Hence, we can say that the probability that the selected college student will be a male student or a graduate student will be [tex]0.52[/tex] or [tex]52\%[/tex] .

To know more about probability click here

https://brainly.com/question/27579447

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