Homework # 8 - 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 and are holding them in our hand, 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?
3. If we roll two dice, what is the most likely total?
a. 6
b. 7
c. 8
d. 12
d. All totals are equally likely.
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. \(50\%\)