Homework # 10 - MATH 2227
The problems on this homework must be done alone. The honor code is in effect.
First name: Last name:
1. How many different 5-card hands (sets of 5 cards) are there from a standard deck of 52 cards.
a. 2,598,960
b. 311,875,200
c. 1,299,480
d. 155,937,600
d. 52
2. How many different 5-card hands are there consisting of only red cards.
a. 131,560
b. 15,787,200
c. 65,780
d. 7,893,600
d. 26
3. From a well-shuffled deck, find the probability of being dealt a 5-card hand consisting of all red cards.
a. 1.26\(\%\)
b. 2.53\(\%\)
c. 5.06\(\%\)
d. 6.30\(\%\)
d. 50.00\(\%\)
4. Assuming that birthdays are uniformly distributed among 365 days in a year, compute the probability that in a randomly selected group of 40 people, at least two share a birthday.
a. 11.0\(\%\)
b. 29.3\(\%\)
c. 60.1\(\%\)
d. 78.8(\%\)
d. 89.1\(\%\)