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