Tasha has a piggy bank that contains 15 loonies, 30 quarters, 20 dimes, and 7 nickels.

a) if she chooses one con at a random to buy some candy, what is the probability of choosing a loonie or quarter?

b) if she chooses three coins, all at once , what is the probability of choosing 2 loonies and quarter?

1 answer

There ar 72 coins total
a) (15+30)/72

b) the possible ways of choosing 3 coins is 72-choose-3 = 72!/3!(72-3)! = 70*71*72/6. This is the denominator.
There are 15-choose-2 ways of picking the two loonies and 30-choose-1 ways of picking the quarter. So, the numerator is ((14*15)/2))*30