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
Evgesh-ka [11]
3 years ago
7

Consider the random permutations of [1..6]. Let A be the event that the number in the first position of such a random permutatio

n is 6, and let B be the event that the number in the last position of such a random permutation is 1. Calculate Pr[A | B].
Mathematics
1 answer:
REY [17]3 years ago
7 0

Answer:

Pr[A | B] = 0.2

Step-by-step explanation:

If we have a permutation of {1,2,3,4,5,6} that ends in 1, then we will have only 5 possibilities for the first spot, 2,3,4,5 and 6. All of them equally probable. Thus, the probability that in the first position of a random permutation there is a 6, giving that in the last position there is a 1 is 1/5 = 0.2

You might be interested in
If A+B+C=<img src="https://tex.z-dn.net/?f=%5Cpi" id="TexFormula1" title="\pi" alt="\pi" align="absmiddle" class="latex-formula"
seraphim [82]

Answer:

a + b + c = \pi \\  =  > c=  \pi - a - b \\  <  =  >  \tan(c)  =  \tan(\pi - a - b)  =  -\tan(a + b)

Step-by-step explanation:

we have:

\tan(a)  +  \tan(b)  +  \tan(c)  \\  =  \tan(a)  +  \tan(b)  -  \tan(a + b)  \\  =  \tan( a)  +  \tan(b)  -  \frac{ \tan(a) +  \tan(b)  }{1 -  \tan(a)  \tan(b) }  \\  =  \frac{ ( \tan(a) +  \tan(b)  ) \tan(a) \tan(b)  }{ \tan(a) \tan(b)  - 1 } (1)

we also have:

\tan(a)  \tan(b)  \tan(c)  \\  =  -  \tan(a)  \tan(b)  \tan(a + b)  \\  =  \frac{ -(\tan( a  )   + \tan(b) ) \tan(a)  \tan(b) }{1 -  \tan(a)  \tan(b) }  \\  =  \frac{( \tan(a)  +  \tan(b)) \tan(a)   \tan(b) }{ \tan(a) \tan(b)  - 1 } (2)

from (1)(2) => proven

5 0
2 years ago
Domain of the function of a graph with coordinates (-3,-2)
olga2289 [7]

Answer:

Domain is -3

Step-by-step explanation:

Given that coordinate of a graph is (-3, -2)

We have to find out the domain.

We know that if A and B are two sets, a mapping from A to B is the subset of cartesian product AxB.

Domain is the set of values of A which have images in B.

Use the above definition.

We have A = {-3,...} and B = {-2,....}

The mapping is from -3 to -2

Hence domain is -3

6 0
3 years ago
Find X (Show Your Work)<br> WILL MARK BRAINLIEST!
Rudiy27

Answer:

its 8 cause 2 times x is 40 40+-40= 0 so 2 times 4 is 8

Step-by-step explanation:

6 0
3 years ago
Write an expression that shows how to usethe halving and doubling strategy to find 8 x 50
faust18 [17]
Double of 50 is 100, so 28*100=2800, now half of the answer is 2800/2=1400
3 0
3 years ago
How can I prove that
Citrus2011 [14]

I can prove by being smart then that if you tell me all the ansers

6 0
3 years ago
Other questions:
  • Problem page a pipe is 30 feet long. it needs to be cut into pieces that are each 23 feet long. how many pieces can be made from
    13·2 answers
  • Help asap!!!
    10·1 answer
  • Write an expression that can be used to find 4x275 using mental math and properties of numbers
    15·1 answer
  • I NEED THE ANSWER RN LIKE RN
    7·2 answers
  • Belinay is making garlands of popcorn kernels and berries to feed the wildlife. The diagram shows the ratio of popcorn kernels t
    11·1 answer
  • a total of 10000 was invested in two business ventures A and B .at the of the first year A and B yielded returns of 6% and 23÷4
    12·1 answer
  • Marie has 11 coins, all of which are quarters and nickels. In all, they're worth $1.15. How many of each kind of coin does Marie
    5·1 answer
  • The FBI wants to determine the effectiveness of their 1010 Most Wanted list. To do so, they need to find out the fraction of peo
    12·1 answer
  • Sin 30° right triangle
    6·1 answer
  • One batch of mooncakes contains 1/4 tablespoons of kansui. How many tablespoons of kansui are
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!