Randolph College
Department of Mathematics and Computer Science

 

Homework # 9 - MATH 2227


The problems on this homework must be done alone.  The honor code is in effect.

 First name:   Last name:


 

1.  If we draw two cards from a well-shuffled deck without replacement, what is the probability that they are both hearts?

a.  \(\frac{1}{16}\)

b.  \(\frac{1}{17}\)

c.  \(\frac{1}{18}\)

d.  \(\frac{1}{20}\)

d.  \(\frac{1}{24}\)

 

2.  If we draw a card from a well-shuffled deck, put it back, reshuffle, and draw another card, what is the probability that both cards are hearts?

a.  \(\frac{1}{16}\)

b.  \(\frac{1}{17}\)

c.  \(\frac{1}{18}\)

d.  \(\frac{1}{20}\)

d.  \(\frac{1}{24}\)

 

3.  If the probability that it rains on a particular day is 30\(\%\), and the probability that my favorite bagel store is out of sesame seed bagels is 20\(\%\), then what is the probability that it rains AND the bagels store is out of sesame seed bagels (assume that these two events are independent)?

a.  \(5\%\)

b.  \(6\%\)

c.  \(25\%\)

d.  \(44\%\)

d.  \(50\%\)

 

4.  If the probability that it rains on a particular day is 30\(\%\), and the probability that my favorite bagel store is out of sesame seed bagels is 20\(\%\), then what is the probability that it rains OR the bagels store is out of sesame seed bagels (assume that these two events are independent)?

a.  \(5\%\)

b.  \(6\%\)

c.  \(25\%\)

d.  \(44\%\)

d.  \(50\%\)