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
Lyrx [107]
3 years ago
10

Two dance teams, the Roses and the Tulips, are perfectly matched so that their chances of winning are both set at 50%. What is t

he probability that the Roses will win the next 3 out of 4 games? Round the answer to the nearest whole percent. (No decimals)
Mathematics
1 answer:
shtirl [24]3 years ago
3 0

Answer:

6%

Step-by-step explanation:

Step 1

The fist step is to define the probabilities.

The events are independent from each other. Each team wins with probability \frac{1}{2} and looses with probability \frac{1}{2}.  Let P(W_R) be probability that Roses win and P(L_R)  be the probability that Roses loose.

Step 2

The second step is to calculate the probabilities by multiplying the probabilities with the first 3 terms in the product being the probability of a win and the last term being the probability of a loss.

The calculation is shown below,

P(W_R)\times P(W_R)\times P(W_R)\times P(L_R)=\frac{1}{2} \times \frac{1}{2} \times\frac{1}{2} \times\frac{1}{2} =\frac{1}{16}

Step 3

The last step is to convert this probability into a percentage. Converting this probability to a percentage is  done as shown below,

\frac{1}{16} \times 100\%=6.25\%.

Step 4

The next step is to round down the percentage . The value of 6.25% rounded down is 6%. The correct answer is 6%.


You might be interested in
12) Perry worked 3 hours at Pet Smart on Saturday. He gets paid an hourly rate. He got
Sloan [31]

Answer:

$8 per hours

Step-by-step explanation:

4 0
3 years ago
Debbie found a suitcase that was originally 129 but now is on sale for 30% off. If sales tax is 8.75%, what is her final cost?
Marizza181 [45]

Step-by-step explanation:

To find the answer we first multiply 129 by 0.7 since the price descresed 30 percent. each percent is equal to 0.01.

129 * 0.7 = 90.3

Then we multiply 90.3 by 1.0875 since that is the sales tax

90.3 * 1.0875 = 98.2

so the cost is 98.2

6 0
2 years ago
Read 2 more answers
Why did j ernest wilkins jr was the first to do something significant in math
Nuetrik [128]

Answer:

guess hes just smart

Step-by-step explanation:

6 0
2 years ago
A boat can travel 112 miles on 14 gallons of gasoline. How much gasoline will it need to go 96 miles?
Oksi-84 [34.3K]

12. Divide 112 by 14 which comes to 8. Then take 96 and divide 96 by 8. Then you get 12

5 0
3 years ago
Read 2 more answers
Plugging in x back in the equation which is 6, what is the measure of this alternate exterior angle
andreyandreev [35.5K]

Answer:

14x - 4 + 13x + 2

= 14(6) - 4 + 13(6) + 2

= 160

5 0
3 years ago
Other questions:
  • The table below summarizes the number of children per household for a sample of 29 families
    7·1 answer
  • Beth sold half of her comic books and then bought nine more she now has 28 how many did she have to start with
    6·1 answer
  • Find the value of x so that the function has the given value.
    11·1 answer
  • Y+1 = 1/2 (x-6) solve for y in simplest form
    10·2 answers
  • which research method assesses how well one variable predicts another without specifying a cause and effect relationship between
    14·1 answer
  • -5 + a =21 what’s A?
    12·1 answer
  • How do you know the correct order in which to evaluate algebraic expressions?
    8·1 answer
  • The probability is 0.2 that a person shopping at a certain store will spend less than $20. For groups of size 17, find the mean
    8·1 answer
  • I WILL MARK BRAINLIEST
    9·1 answer
  • A(n)=−5+6(n−1)<br> What is the 12th term in the sequence
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!