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
kherson [118]
2 years ago
6

In a horse race with 5 horses, you make a bet by predicting the ranking of all 5 horses. Suppose you place your bet at random. W

hat is the probability that you will rank the top 2 horses incorrectly in the incorrect order? Write your answer as an exact fraction which is reduced as much as possible.
Mathematics
1 answer:
lapo4ka [179]2 years ago
8 0

Answer:

P( top two horses are predicted incorrectly in incorrect order)

= \frac{1}{2}

Step-by-step explanation:

In the horse race the outcome can be predicted in 5! = 120 ways.

Now suppose the top two horses were predicted incorrectly in incorrect order. Now, the  top horse can be predicted incorrectly in 4 ways.

Suppose the top horse was predicted to be in k-th position where k = 2, 3 ,4,5

so the second horse can be predicted to be in place from 1 to (k - 1)

So, the top two horses can be predicted  incorrectly in incorrect order

in \sum_{k =2}^{5}(k - 1) = 10 ways  

and for each prediction of the two the remaining horses may be predicted in 3! = 6 ways.

Hence ,

P( top two horses are predicted incorrectly in incorrect order)

= \frac{6 \times 10}{120}

=\frac{1}{2}

 

You might be interested in
If the simple interest on ​$7000 for 10 years is ​$6300​, then what is the interest​ rate? I will pick branliest answer with the
Roman55 [17]

Answer:

0.09

Step-by-step explanation:

So if you use the Simple interest equation it will begin with:
Interest total = Initial Amount of money x Interest rate per year x Years money is invested for.

Then substitute the values you have been given so:

$6300 = 7000 x Interest rate per year x 10.

This is simplifies to 6300 = 70,000 x Annual Interest rate

You can rearrange this to find the annual interest rate by dividing by 70,000:
\frac{6300}{70000} = Interest\ rate

Simplifying this would be:
\frac{63}{700}\\ = Interest rate.

The interest rate is 0.09.

8 0
1 year ago
Determine if the set is empty<br> {x|x is a planet in our solar system whose name begins with F}
Levart [38]
The set is empty............
6 0
2 years ago
The edge of a cube was found to be 15 cm with a possible error in measurement of 0.1 cm. Use differentials to estimate the maxim
Artyom0805 [142]

Answer: wait up getting your answers

Step-by-step explanation:

3 0
3 years ago
20 POINTS!!! PLEASE HELP!!!
alex41 [277]

Answer:

Option 2

Step-by-step explanation:

It's a rotation

7 0
2 years ago
Read 2 more answers
Find the smallest positive integer value of n for which 225n is a multiple of 540.​
krek1111 [17]

Answer:

mark me as brainliest and follow and like my answer

Step-by-step explanation:

225n=540

n=2.4

5 0
2 years ago
Other questions:
  • Given h(x) = 5 - 9x, find h(8).<br> ANSWER!!!
    6·1 answer
  • Th polynomial x3+8 is equal to
    7·1 answer
  • What is the product of (x+1) and (2x^2+3x-1)
    13·2 answers
  • Explain how to add fractions with the same denominator. Use
    13·2 answers
  • Here are two steps from the derivation of the quadratic formula. What room place between the first step and the second step?
    10·2 answers
  • The graph below shows a proportional relationship between y and x .
    13·1 answer
  • The sale price of every item in a store is 85% of its usual price. The usual price of a sweatshirt is $18, what is its sale pric
    10·1 answer
  • Solve the equation simultaneously<br> 3x+4y-z=19 <br> 5x+2y+z=15 <br> 2x+3y+2z=11.<br> Find x+y+z
    14·1 answer
  • Type the missing number that makes these fractions equal:<br><br> 4<br> 8<br> = <br><br> 2
    15·2 answers
  • 7 Valley Video rented 1540 videos in July.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!