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
A shop needs to mail 77 checks to the bank if they put 4checks in each envelope how many checks will be in the final envelope
andreev551 [17]
You have to divide 77 by 4 and then the reminder will be 1 so only one check will be there in the final envelop.
7 0
3 years ago
Read 2 more answers
What is the slope of the line
Nady [450]

Answer:

the slope is -2

Step-by-step explanation:

(1,0) (0,2)

<u>\frac{y2 - y1}{x2 - x1}</u>

<u>[tex] \frac{2 - 0}{0 - 1} = - \frac{2}{ 1} = </u><u>-</u><u>2</u><u>/tex]</u>

7 0
2 years ago
Brad worked 40 hours last week and earned $394. What was Brad's hourly pay in dollars and cents?
ZanzabumX [31]
Brad's pay is $9.85 per hour
5 0
3 years ago
Read 2 more answers
PLS HURRY!!! I'LL GIVE BRAINLIEST!!!
KIM [24]

Answer:

2/3

Step-by-step explanation:

in order to find slope we do rise over run or y over x. if you look at the pictrue, when x increases by 3 then y increases by 2. Hope this helped!!!!!!

7 0
3 years ago
Help on this easy pre-algebra problem please!! ASAP
Aleks [24]
About 7
because 5^2+5^2 is 50 and then you take the sq root of 50 which is about 7
5 0
3 years ago
Read 2 more answers
Other questions:
  • A culture started with 4,000 bacteria. After 5 hours, it grew to 4,800 bacteria. Predict how many bacteria will be present after
    9·2 answers
  • G(x)=\dfrac{x+6}{2}g(x)=
    14·1 answer
  • Express with positive exponents
    15·1 answer
  • What is 22% of 150? i need this answer know!!!!
    10·2 answers
  • I need help on number 2 and 3 please explain how to do this thanks!
    11·1 answer
  • a political candidate hears that 65% of the voters are for him in the polls, up 40% since the last poll what percentage of voter
    13·1 answer
  • Who can help me on my math I’m failing can y’all please help me on some questions.
    8·1 answer
  • What is the simplified product? 2 3/8×5
    5·1 answer
  • Can someone please help !!
    7·1 answer
  • DOES the given value make the inequalities true? x + 9 &gt; 21, when x = 15?
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!