Question

a. Calculate the number of possible lottery tickets if the player must choose 8 numbers from a collection of 45 numbers (1 through 45), where the order does not matter. The winner must match all 8.

b. Calculate the number of lottery tickets if the player must choose 7 numbers from a collection of 60 numbers (1 through 60), where the order does not matter. The winner must match all 7. c. In which lottery does the player have a better chance of choosing the randomly selected winning numbers?

d. In which lottery does the player have a better chance of choosing the winning numbers if the order in which the numbers appear on the ticket matters?

Answer #1

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...

In a lottery game, 4 numbers from 1 to 29 are selected. Winners
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winning with a single ticket?

1）To win a particular lottery, your ticket must match 6 different
numbers from 1 to 50, without regard to order.
a) How many combinations are possible?
2）To win a particular lottery,
your ticket must match 6 different numbers from 1 to 50, without
regard to order.
b) To win second
prize, 5 of the 6 winning numbers must match. How many outcomes are
possible for 2nd prize?
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1) Choose a lottery that has published odds. Make sure to post
the odds in both "1 in X" format and in "p = 0.XXX" decimal format.
For example, Flip a Coin has a 1 in 2 chance of being heads,
p(heads) = 0.50
2) Explain why P(A and B) = 0, where P(A) = lottery number #1 is
a winning jackpot ticket and P(B) = lottery number #2 is a winning
jackpot ticket.
3) If there was a really...

A senior citizen purchases 45 lottery tickets a week,
where each ticket consists of a different six-number combination.
The probability that this senior will win - (to win at least three
of the six numbers on the ticket must match the six-number winning
combination) on any ticket is about 0.018638.
What probability distribution would be appropriate for
finding the probability of any individual ticket
winning?
Binomial, Negative Binomial, Hypergeometric, or
Poisson?
1. How many winning tickets can the senior expect...

In a certain state lottery, each player selects 5 numbers from 1
through 70. Then 5 winning numbers are chosen from the same range.
What is the probability that a given ticket has all 5 numbers
correct?

The local lottery is found by randomly selecting 6 ping pong
balls from a container in order without replacement. There are 30
ping-pong balls in the container numbered 0 through 29. 1.) What is
the probability you hold the winning ticket? 2.) How many tickets
should you buy to give yourself a 1% chance of winning the lottery?
A 10% chance? A 25% chance? A 50% chance? 3.) What is the
probability all 6 numbers are even? At least one...

A lottery consists of 50 numbers from which you pick 5 numbers
without replacement and order does not matter. What is the
probability that:
all 5 numbers match?
three of the 5 numbers match

Lottery
The lottery game matches three different integer numbers between
1 and 10. Winning depends on how many matching numbers are provided
by a player. The player provides three different integers
between 1 and 10.
If there is a match of all 3 numbers, the winning $ 1000.
If there is a match with 2 numbers, the winning $ 10.
If there is a match with 1 number, the winning $ 1.
With no match, the winning is $0.
Write...

Pennsylvania has a lottery entitled "Big 4". To win, a player
must correctly match 4 digits, in order, from a daily lottery in
which four digits are selected. Digits are chosen from four
separate bins, each containing 10 balls numbered 0-9. The only way
to win is to match all 4 digits. If the payoff for a $100 bet is
$10000, what is the expected value of winning? Create the
probability model for this situation. Based on the model, is...

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