Ina NY State daily lottery game, a sequence of three digits (notnecessarily different) in...
In
a NY State daily lottery game, a sequence of three digits (not
necessarily different) in the range 0-9 are chosen at random. Find
the probability that all three digits are different
Suppose you play a "daily number" lottery game in which three
digits from 0–9 are selected at random, so your probability of
winning is 1/1000. Also suppose lottery results are independent
from day to day.
A. If you play every day for a 7-day week, what is the
probability that you lose every day?
B. If you play every day for a 7-day week, what is the
probability that you win at least once? (Hint: Make use of your
answer...
The California Daily 3 lottery game is identical to the
Pennsylvania Daily Number game describe in Example 15.15. The
following table contains the observed distribution of all digits
drawn in the California Daily 3 on the 200 days between May 14th,
2000, and November 29, 2000. Three digits are drawn each day, so
the sample size is n = 600 for this table. (SHOW YOUR
WORK)
table.
Digit 0 1 2 3
4 5 6 7 8 9
Count 49...
Lottery
One state lottery game has contestants select 5 different
numbers from 1 to 45. The prize if all numbers are matched is 2
million dollars. The tickets are $2 each.
1) How many different ticket possibilities are
there?
2) If a person purchases one ticket, what is
the probability of winning? What is the probability of losing?
3) Occasionally, you will hear of a group of
people going in together to purchase a large amount of tickets.
Suppose a...
In a lottery game a player chooses four digits (digits can
repeat, for instance 0, 2, 0, 2 is a valid choice) and bet $1 that
all four of them will arise in the four digit number drawn from the
lottery. It isn’t necessary that the order will be the same: if a
player selects 2, 6, 7, 8 the selection of 8, 2, 7, 6 means he won.
Player gets $200 if he wins.
1. What is the probability...
In a lottery game a player chooses four digits (digits can
repeat, for instance 0, 2, 0, 2 is a valid choice) and bet $1 that
all four of them will arise in the four digit number drawn from the
lottery. It isn’t necessary that the order will be the same: if a
player selects 2, 6, 7, 8 the selection of 8, 2, 7, 6 means he won.
Player gets $200 if he wins.
1. What is the probability...
A state is starting a lottery game. To enter this lottery, a
player uses a machine that randomly selects six distinct numbers
from among the first 30 positive integers. The lottery randomly
selects six distinct numbers from the same 30 positive integers. A
winning entry must match the same set of six numbers that the
lottery selected. The entry fee is 1, each winning entry receives a
prize amount of 500,000, and all other entries receive no prize.
Calculate the...
One of the games of the Massachusetts Lottery is the daily
numbers. Four digits (0 - 9) are drawn at random thus
producing a 4 digit number.
Your friend has the following theories about the digits
drawn:
#1. Over the year the average of the total of the 4 digits drawn
each day is 24
#2. If the first digit of the 4 digits drawn is even the last
digit is odd at least 75% of the time
#3. The middle...
In the New York State "Numbers" game, three digits are drawn,
with replacement, each evening on television. The player chooses,
in advance of course, three digits and may pick from several types
of bets:
a. "Straight": To win the player's digits must match those drawn
in the order they were drawn.
b. "Six-Way Box": The player chooses three different digits and
wins if they match those drawn in any order.
c. "Three-Way Box": The player announces a digit once and...
A) A researcher recorded all digits selected in California's
Daily 4 Lottery for the 60 days preceding the time. The frequencies
of the digits 0 to 9 are 21, 30, 31, 33, 19, 23, 21, 16, 24, and 22
respectively.
Use a 0.05 significance level to test the claim that the digits
are selected in away that they are equally likely.
What is the critical value (X2)? [Round to the nearest
thousandths place]
B) Given the information, what can you...
In a three-digit lottery, each of the three digits is supposed
to have the same probability of occurrence (counting initial blanks
as zeros, e.g., 32 is treated as 032). The table shows the
frequency of occurrence of each digit for 90 consecutive daily
three-digit drawings.
Digit
Frequency
0
26
1
18
2
35
3
22
4
16
5
30
6
35
7
32
8
24
9
32
Total
270
(a) Calculate the chi-square test statistic,
degrees of freedom, and...