Question

The students of a high school are 51% males; 45% of the males and 49% of the females attend concerts.

A. Find the probability that a student attends concerts.

B. Find the probability that a student is a female and does not attend concerts.

Answer 1

a. is 1/2

Answer 2

b. 1/2 x 49/100 x 49/100

Answer 3

How is a 1/2 though?

Answer 4

Let's say there are 10,000 students

51% are males, so 0.51*10,000 = 5,100 are male
49% are female, so 0.49*10,000 = 4,900 are female

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`45% of the males ... attend concerts`
0.45*5100 = 2,295 males attend concerts

`49% of the females attend concerts`
0.49*4900 = 2,401 females attend concerts

In total 2295+2401 = 4,696 students attend concerts

Answer 5

We have 4,696 students who attend concerts out of 10,000 total

Answer 6

probability student attends concert = (# of students who attend concert)/(# total)

Answer 7

Thank you :)

Answer 8

no problem

Answer 9

See attachment for a tree diagram.

http://www2.informns.k12.mn.us/schoolTIES/files/2733790/01535/shawnaz/1171414Review%2012.1%20and%2012.2.pdf