SOLUTION: A teacher was asked by her principal to select 7 students at random from her class to help out on an outing to a senior's home. In her class, she has 5 girls and 9 boys. The

Algebra ->  Probability-and-statistics -> SOLUTION: A teacher was asked by her principal to select 7 students at random from her class to help out on an outing to a senior's home. In her class, she has 5 girls and 9 boys. The       Log On


   



Question 916451: A teacher was asked by her principal to select 7
students at random from her class to help out on an outing to a
senior's home. In her class, she has 5 girls and 9 boys. The
principal believes that this teacher always favors the girls when it
comes to outings such as this. When the teacher handed in her list
of student names, the principal noted that the number of girls on the
list was 5 and the number of boys was 2. Is there any statistical
evidence that the teacher favors girls?
Compute the probability that, of the students selected, 1 is a girl.
Round off to 4 decimal places.

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
14 students: 5G, 9B
7 selected)
P(5G and 2B) = %285C5%29%289C2%29%2F%2814C5%29 = 36/2002 = 18/1001
choosing all the girls and 2 boys...randomly..this would happen 18 out of 1001 selections
...
P (1G) = %285C1%29%289C6%29%2F%2814C5%29+=+5%2A84%2F2002+ = 210/1001