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## Homework Statement

1. A bus arrives at a station every day at a random time between 1:00 PM and 1:30 PM.

a) What is the probability that the person has to wait exactly 15 minutes for the bus?

b) What is the probability that the person has to wait between 15 and 20 minutes for the bus?

2. Suppose you will be given a random subset of ﬁve cards from a standard deck of 52 cards.

a) What is the probability that you’ll get exactly one ace?

b) What is the probability that you’ll get at least one ace?

## Homework Equations

## The Attempt at a Solution

1 a) 1/30 -- I figured, since the bus arrives at any random time during the 30 minutes, it has 1/30 chance of arriving at any given minute.

b) 1/6?... I'm not really sure how to approach this one...

2 a) (4/52)*(48/52)*(48/52)*(48/52)*(48/52) = 0.05585?

b) (4/52) + (4/52) + (4/52) + (4/52) + (4/52) = 20/52?