Problem of the Week
Problem B
A Pocketful of Coins

Dakarai has a some Canadian coins in his pocket: one nickel (worth \(\$0.05\)), one dime (worth \(\$0.10\)), one quarter (worth \(\$0.25\)), one loonie (worth \(\$1.00\)), and one toonie (worth \(\$2.00\)).

1. Suppose he reaches into his pocket and pulls out one coin at random.

   1. What is the probability that he will pull out

      • a nickel?

      • a quarter?

      • a toonie?

   2. What is the probability that the total value of the coins remaining in his pocket is

      • less than \(\$1.00\)?

      • greater than \(\$1.35\)?

      • less than \(\$2.00\)?

2. Suppose Dakarai reaches into his pocket and pulls out two coins at random. Which is greater, the probability that the coins in his hand have a value of \(\$0.35\), or the probability that the coins in his hand have a value of \(\$3.00\)?

Theme: Data Management