Question

Out of a class of 8 boys and 4 girls, a group of 7 people is chosen at random.

Find the probability that the group of 7 includes one particular boy.
Find the probability that the group of 7 includes at least 2 girls.

Answer 1

So since

Explanation:

The equation to determine this would be to multiply the number of spots by, each, the total number of possible candidates, minus one, consecutively.

In other words:

-9 kids total

-7 will be selected

calculation: 9*8*7*6*5*4*3

That calculation will give you the total number of possible outcomes, and only one of them will yield 4 girls being selected. Therefore, the odds are:

1/9*8*7*6*5*4*3

Work out the multiplication, and you get this:

1/181,440

Or, 1 out of 181,440; or,

181,440 to one.

Answer 2

Out of a class of 8 boys and 4 girls, a group of 7 people is chosen at random.

Find the probability that the group of 7 includes one particular boy. Find the probability that the group of 7 includes at least 2 girls?

boys= 8

girls= 4

total= 12

probability that the group of 7 includes a boy= 8/12= 2/3

probability that the group of 7 includes at least 2 girls= 4/12= 1/3

Explanation: