ECN 422 PS1 Fall 2022
Hello, dear friend, you can consult us at any time if you have any questions, add WeChat: daixieit
ECN 422 PS1
Fall 2022
Due in class on Sep 19th.
Permutation, Combinations, and the product rule
Part 1 Summary
Read textbook Chapter 2 and write a minimum one-page summary
Part 2 Questions
Question 1) [Basic] You roll a fair ten-faced die, numbered from one to ten. Find the chance of the following events:
a) P (A), where A is the set of even outcomes.
b)P (B), where B is the set of outcomes larger than 3.
c) P (A [ B)
Question 2)[Basic] You roll a fair ten-faced die, numbered from one to ten, then you draw a card from a standard deck of 52 cards.
a) What is the size of the sample space?
b) Find P (A), A is the outcome in which you roll a 10 and then draw the Ace of spades.
c) Find the chances of you rolling a number smaller than 9 and then drawing the Ace of spades.
d) Find the chances of you rolling the number 10 and then drawing a card of spades.
e) Find the chances of you rolling a number smaller than 9 and then drawing a card of spades, or rolling anything and then drawing the ace of spades.
Question 3)[Intermediate] You draw 4 cards in a row, from a deck of 52.
a) What is the chances that you will get 4 aces (hearts, clubs, diamonds, spades), in that order?
b) What are the chances that the set of 4 cards you draw will contain the all the 4 aces? (In other words, you will draw the 4 aces in any order).
b) What are the chances that you all your cards will be of spades? Is it close to :254? Try to explain why.
Question 4)[Intermediate] The ìholeí(or ìstarting handî) of a texas holdíem game consists of drawing at random two cards of a standard deck of 52, (ordering irrele- vant).1
a) How many distinct hands can you have in the ìholeîíof a texas holdíem game?
b) What is the chance of you drawing the ace and the king of spades?
c) What is the chance you will draw an ace and a king of the same suit?
d) What is the chance that you will draw two cards of spades?
e) What is the chance that you will draw two cards of the same suit?
f) What are the chances that you will draw either an ace and a king of the same suit or two cards of spades?
g) What is the chance that you will draw a pair (two equal cards of di§erent suits)?
2023-12-13
Permutation, Combinations, and the product rule