PSY 555 Homework 9

Chapter 5:
#14,21,23,26,29,30

1. Define
permutations and combinations, giving an example of each.

2. Your
friend has password protected his computer and, unfortunately, forgotten the
password. In order to access his
computer, he must enter the correct password, which consists of a seven digit
numerical sequence. Your friend recalls
that the password did not have any number in it twice. Based on this, how many
possible combinations would your friend potentially need to try to access his
computer?

3. A
rat in an experiment has 20 trials with 4 possible options (i.e.,
p(success)=.25, p(failure)=.75). What is
the probability that a rat will get a score as extreme as 17 successes?

4. My
friends and I have invented a new card game named "Joker." The game is played with 4 decks of cards (a
deck of cards consists of the standard 52 cards, a red joker, and a black
joker, for a total of 54 cards per deck).
The game is played with 5 individuals and each individual is dealt seven
cards face down (the dealer deals the cards starting with the player to his/her
left and continues clockwise, e.g., the dealer begins by giving the player to
his/her left one card, then the next player their first card, and so on) The object of the game is to finish (i.e.,
when there are no cards left) with the least amount of points or all the red
jokers. Given this limited information
on the rules of the game, answer the following questions:

a. What is the probability that the dealer's
first four cards dealt are all red jokers?

b. What is the probability that one of the
dealer's first five

cards
dealt will be a red joker?

c. What is the probability that each person
starts the game with a red joker?

d.
Below are the cards dealt to each of the five players:

Player
1—A,K,2,6,8,10,Jack

Player
2-Red Joker,9,3,5,4,Jack, Black Joker

Player
3-K,Q,3,6,9,10,Black Joker

Player
4-2,7,7,10,Q,K,A

Player
5-4,8,8,Jack,Red Joker,Q,7

Given
this information, what is the probability that the next card drawn from the
deck will be a 4?