Answer:
P=0.228
Step-by-step explanation:
We know that from a faculty of six professors, six associate professors, ten assistant professors, and twelve instructors, a committee of size six is to be selected.
Therefore, we have 34 people.
We calculate the number of possible combinations:

Of the 6 professors we choose 2, and of the other 28 people we choose 4.
We calculate the number of favorable combinations:

Therefore, the probability is:

A general equation to use for this situation is y = mx + b.
For this question, we can assume that y is total cost, m is cost per balloon, x is the amount of balloons, and b as the service fee; so we can set the equation up:
y = (4.50)x + 12
And we can further plug in the total cost to find the number of balloons purchased for the party:
79.50 = (4.50)x + 12
Now we can solve for x (number of balloons):
67.50 = (4.50)x
x = 15
The total number of balloons purchased for the party is 15.
The four outcomes are:
HH
HT
TH
TT
There are 4 outcomes that are possible. I've never seen anyone flip and edge, so that does not count.
No, 1/3 is greater than 1/6.
1/3 converts to 2/6.
2/6 > 1/6