1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
liraira [26]
3 years ago
9

In a Match 6 Lotto, winning the jackpot requires that you select six different numbers from 1 to 49, and that the same six numbe

rs be drawn in the lottery. The winning numbers can be drawn in any order. After carefully reading the scenario, determine the number of possible arrangements of the six numbers. Which will work better to determine this answer, permutation or combination? Justify your answer. Besides your method, is there another method to determine the number of outcomes? Explain. Calculate the probability of winning. Explain. Make an argument for or against playing the lottery.
Mathematics
1 answer:
zimovet [89]3 years ago
6 0

Answer:

P=\frac{1}{13,983,816}=7.2\ x\ 10^{-8}

Step-by-step explanation:

Consider the following characteristics of the problem:

The numbers that are selected are different between 1 and 49. This means that the same number is not repeated twice.

The order in which the selected numbers appear does not matter:

This means that (123) = (312)

With this in mind, we know that it is a problem of combinations without repetition. It is not calculated using permutations because in the permutations the order of selection is important, for example: (123) is not equal to (312)

The formula for calculating combinations without repetition is:

nCr=\frac{n!}{r!(n-r)!}

Where n is the number of "elements" you can choose and choose r from them

In this case:

n=49

r=6

So:

49C6=\frac{49!}{6!(49-6)!}

49C6=13,983,816\ outcomes

There are 13,983,816 possible results

This is the best method to calculate the number of possible outcomes.

<em><u>"Besides your method, is there another method to determine the number of outcomes?"</u></em>

Sure, make a list of the 13,983,816 different sets of 6 numbers.

To win it is necessary to obtain the 6 winning numbers in any order. The number of ways this can occur is calculated by combining 6 in 6

6C6=\frac{6!}{6!(6-6)!}=1

Finally the probability of winning is:

P=\frac{1}{13,983,816}=7.2\ x\ 10^{-8}

Note that the probability of winning is very close to 0. It is practically impossible to win the lottery, you will probably never win anything. Therefore it is better not to invest money in this

You might be interested in
100 POINTS!!!
BigorU [14]

Answer:

u need to subtract the pool from the whole area to get the answer

4 0
3 years ago
(3 + 4i) - (8 -5i) Write answer in standard form a +bi Group of answer choices
Anton [14]

Answer:

A=-5+9i

Step-by-step explanation:

\left(3+4i\right)-\left(8-5i\right)\\\\\mathrm{Group\:the\:real\:part\:and\:the\:imaginary\:part\:of\:the\:complex\:number}\\\left(a+bi\right)\pm \left(c+di\right)=\left(a\:\pm \:c\right)+\left(b\:\pm \:d\right)i\\\\=\left(3-8\right)+\left(4+5\right)i\\3-8=-5\\4+5=9\\\\=-5+9i

5 0
3 years ago
A party size bag of tortilla chips normally costs 3.80. The supermarket has them on sale today for 2.85.what is the percentage o
3241004551 [841]
The percentage of the discount is 75%
8 0
3 years ago
Read 2 more answers
Miguels book has 208 pages. Kristens book have n fewer pages then miguels book. Write an exprssion to represent the number of pa
77julia77 [94]

Answer:

208-n

Step-by-step explanation:

208 is Miguel number and in is Kristen. Miguel has a greater number of pages than Kristen so you would have to subtract n from it. Hope this helps! :P

3 0
2 years ago
Find the GFC of 56 and 84. A factor tree for 84 is given below. The GCF of 84 and 56 is 7142128 .
guajiro [1.7K]

Answer:

28 is the GCF

Step-by-step explanation:

What I know about GCF is that it's a greatest (G) common (C) factor (F). The GCF of 84 and 56 is 7142128; false.

56- 56, 28, 14, 8, 7, 4, 2, 1.

84- 84, 42, 28, 21, 14, 12, 7, 6, 4, 3, 2, 1.

Hope this helps. :)

8 0
3 years ago
Read 2 more answers
Other questions:
  • Please simplify this
    8·1 answer
  • 6.45 t0 the nearest whole number
    14·2 answers
  • What is the measurement of QP? Please show all the work on how you got your answer
    15·1 answer
  • Please help!! I have tried it on my own and I am stuck
    6·1 answer
  • What is the value of rate of 7x-3=32
    13·1 answer
  • What is 2 1/5 times 3 4/7
    12·1 answer
  • Two trains leave the station at the same time, one heading west and the other east. The westbound train travels at
    12·2 answers
  • I NEED HELPP!!! PLEASE
    14·1 answer
  • -1/3 + 5e = -3/4 <br> Pls show your work
    13·1 answer
  • What is the slope of the line that passes through the points (-5, -7) and (4,−1)? in the simplest form
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!