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
Citrus2011 [14]
3 years ago
13

A carnival game gives players a 25% chance of winning every time it has played a player plays the game four times let XP the num

ber of times a player wins in for place what is the most probable value of X what is the probable that the player will win at least once
Mathematics
1 answer:
allsm [11]3 years ago
8 0

Answer:

0.6836 = 68.36% probability that the player will win at least once.

Step-by-step explanation:

For each game, there are only two possible outcomes. Either the player wins, or the player loses. The probability of winning a game is independent of any other game, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

25% chance of winning

This means that p = 0.25

Plays the game four times

This means that n = 4

What is the probability that the player will win at least once?

This is:

P(X \geq 1) = 1 - P(X = 0)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{4,0}.(0.25)^{0}.(0.75)^{4} = 0.3164

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.3164 = 0.6836

0.6836 = 68.36% probability that the player will win at least once.

You might be interested in
Police use photographs of various facial features help witnesses identify suspects. One basic identification kit contains 195 ha
Brrunno [24]

Answer: 99 different faces

Step-by-step explanation:

Since a witness can clearly remember the hairline and the eyes and eyebrows of a suspect, and the

basic identification kit contains 195 hairlines, 99 eyes and eyebrows, the number of different faces that can be produced with this information will be 99

5 0
3 years ago
Growth or decay pls answer
algol13

Answer:

exponential decay because the base is less than one

Step-by-step explanation:

6 0
2 years ago
one teacher want to give each student 4/5 of a slice of pizza, if the teacher has 4 slices of pizza, then how many students will
GuDViN [60]

Answer:

The answer is 5 students.

Step-by-step explanation:

This problem is a division problem.

To solve, divide 4 by 4/5.

There is a strategy for this- Keep, Change, Flip.

Keep the dividend like it is, which is 4 or 4/1.

Change the division to multiplication.

And flip the divisor- 4/5 to 5/4.

When you multiply, you should get 20/4.

Simplify by dividing 20 by 4.

20 divided by 4 is 5.

So the answer is 5 students

6 0
3 years ago
Solve for n 25/n = 5/8
Sveta_85 [38]

Answer:

n=40

Step-by-step explanation:

25/n=5/8

25/5=5

n/5=8

n=40

3 0
3 years ago
Read 2 more answers
Tom is mailing packages. Each small package costs him $3.30 to send. Each large package costs him $4.30 . How much will it cost
Kazeer [188]
3.30 x 5 = 16.50
4.30 x 7 = 30.10
30.10 + 16.50 = $46.60
8 0
2 years ago
Other questions:
  • What is 1/10 of 0.04
    15·2 answers
  • Please help me with #2
    5·1 answer
  • A coffee shop owner claims that more than 80% of coffee drinkers think that taste of a shops coffee is very important in determi
    7·2 answers
  • X+y=26<br> 3x+8y=123<br> What is x equal
    14·1 answer
  • HELP!! PLZ SHOW WORK AND YOULL GET BRAINLEIST ​
    10·1 answer
  • Answer please?? 50+40+10=
    6·2 answers
  • {Stop scrolling} this is not a question but I just wanted you to know that you are doing absolutely amazing and I am extremely p
    8·2 answers
  • Tristen is packing lunch boxes for the school trip. Each lunch box consists of 1 sandwich, 1 fruit, and 1 drink. Tristen can cho
    10·1 answer
  • Marissa had a $25 gift card for Roosters on Oxford. Each morning she purchases her $3 vanilla latte. Write an equation in slope-
    10·1 answer
  • A van,a moving company charges 50.00 plus 5.50 by per mile. The table shows the total cost for the number of miles drivin
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!