In the Powerball® lottery, the player chooses five numbers from
a set of 69 numbers without...
In the Powerball® lottery, the player chooses five numbers from
a set of 69 numbers without replacement and one “Powerball” number
from a set 26 numbers. The five regular numbers are always
displayed and read off in ascending order, so order does not
matter. A player wins the jackpot if all six of the player’s
numbers match the six winning numbers.
a. How many different possible ways are there to select the six
numbers?
b. How many tickets would someone...
Lottery: I buy one of 200 raffle tickets for
$10. The sponsors then randomly select 1...
Lottery: I buy one of 200 raffle tickets for
$10. The sponsors then randomly select 1 grand prize worth $300, 2
second prizes worth $80 each, and 3 third prizes worth $40 each.
Below is the discrete probability distribution for this raffle.
Prize
P(x)
Grand
1/200
Second
2/200
Third
3/200
None
194/200
(a) Recognizing that I spent $10 to buy a ticket, determine the
expected value of this raffle to me as a player. Round your
answer to the nearest...
Suppose you are playing a game of five-card poker where you are
dealt a hand of...
Suppose you are playing a game of five-card poker where you are
dealt a hand of 5 cards from a standard deck of 52 playing cards.
Each card has one of 13 values, 2,3,…,10,J,Q,K,A2,3,…,10,J,Q,K,A,
and one of 4 suits, ♡,♢,♠,♣♡,♢,♠,♣
A hand called a royal flush consists of cards of
the values 10,J,Q,K,A10,J,Q,K,A, all from the same suit. For
instance, a royal flush with hearts would be
10♡,J♡,Q♡,K♡,A♡10♡,J♡,Q♡,K♡,A♡.
Now, actually getting a royal flush in poker is incredibly rare (in...
A group of five friends are playing poker one night, and one of
the friends decides...
A group of five friends are playing poker one night, and one of
the friends decides to try out a new game. They are using a
standard 52-card deck. The dealer is going to deal the cards face
up. There will be a round of betting after everyone gets one card.
Another round of betting after each player gets a second card, etc.
Once a total of 7 cards have been dealt to each player, the player
with the best...
I don't know how to write (iii) and want to make sure my answer
is right...
I don't know how to write (iii) and want to make sure my answer
is right for (i) and (ii)
A prize competition operates by a machine choosing randomly (no
replacement) 3 balls from 18. There are 6 red balls, 6 blue balls
and 6 green balls. And for each colour the balls are numbered
1,2,3,4,5,6. There are three ways you can win: (C) you have three
balls the same colour; (T) you have “top scores” meaning that the
three...
Read and comment:
$2500: “A Fair Price for Hamilton”
NY Times, 23 October 2016
Gregory Mankiw...
Read and comment:
$2500: “A Fair Price for Hamilton”
NY Times, 23 October 2016
Gregory Mankiw
Consumers of goods and services do not typically wish that
producers charged higher prices. But that was exactly my desire on
a recent trip to New York City.
The story begins with a basic mismatch: I am a big fan of
theater, and I live just outside Boston. While Boston is a good
city for the arts, it is not the mecca that New...
Below are ten functions. Find the first derivative of each. All
of the derivatives can...
Below are ten functions. Find the first derivative of each. All
of the derivatives can be found by using combinations of the
constant rule, power function rule and sum-difference
rule. Do not use the product rule. It is not
needed. The degree of difficulty (more or less) increases
from (a) to (j). Be sure to show intermediate work. Five points are
awarded for correctly developed derivatives. There is no partial
credit, because an incorrect derivative is useless.
For example,...