You decide to start taking coins out of your piggy bank. Currently, your piggy bank has 43 coins, of which 14 are toonies and 8 are loonies.

Question

Suppose that when you take a coin out, you do not put it back in the piggy bank; you are picking coins without replacement. (Round your answers to 4 decimal places, if needed.)

a) What is the probability that the third coin you pick is the first toonie you find?

(b) What is the probability that at least one of the first two coins you pick is a toonie?

(c) What is the probability that the first three coins you pick are all either loonies or toonies?

Answer 1

43= total coins = t+L+other coins

t=14

L=8

c)

P(3t)= (14/43)^3= about 0.0345= 3.45% chance 3 toonies

P(3L)= (8/43)^3= about 0.00644= 0.644% chance of 3 loonies

(enough to make you remember bugs bunny in loonie tunes cartoons)