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 \(\$2.00\)).

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

What is the probability that he will pull out

a nickel?

a quarter?

a toonie?

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 \(\$2.00\)?

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