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
Nady [450]
3 years ago
14

A computer chess game and a human chess champion are evenly matched. They play twelve games. Find probabilities for the followin

g events. (Round all answers to four decimal places.) (a) They each win six games.
Mathematics
1 answer:
sleet_krkn [62]3 years ago
3 0

Answer:

The probability that they each win six games is 0.225.      

Step-by-step explanation:

Given : A computer chess game and a human chess champion are evenly matched. They play twelve games.

To find : The probability that they each win six games?

Solution :

Applying binomial distribution,

Here n=12 and p=0.5

P(X=k)=\frac{n!}{k!(n-k)!}\times p^k\times (1-p)^{n-k}

The probability that they each win six games is k=6.

P(X=6)=\frac{12!}{6!(12-6)!}\times 0.5^6\times (1-0.5)^{12-6}

P(X=6)=\frac{12\times 11\times 10\times 9\times 8\times 7\times 6!}{6\times 5\times 4\times 3\times 2\times 6!}\times 0.015625\times 0.015625

P(X=6)=11\times 2\times 3\times 2\times 7\times 0.015625\times 0.015625

P(X=6)=0.225

Therefore, The probability that they each win six games is 0.225.

You might be interested in
Margo can purchase tile at a store for $0.79 per tile and rent a tile saw for $20. At another store she can
TEA [102]

Answer:

$20.00+$0.79=$20.79

$20.79-$1.19=$19.60

5 0
3 years ago
Definitions of ASA SAS AAS, can someone dumb it down plz?
Veseljchak [2.6K]

Answer:

Hope this helps.

Step-by-step explanation:

So for ASA, the two triangles have to have two angles congruent, and in the middle of those angles, they have to have a line that's congruent.

For SAS, the two triangles have to have two lines congruent, and in the middle of those lines, they have to have an angle that's congruent.

For AAS, the two triangles have to have two angles congruent, but the line that's congruent has to be on the side, not in the middle.

7 0
3 years ago
Is15 a composite or a prime number
Orlov [11]
It is a prime number.
8 0
3 years ago
Read 2 more answers
F(x)=x^2+2x-1 <br>find f(-3)​
emmasim [6.3K]

Answer:

2

Step-by-step explanation:

7 0
3 years ago
1/2 minus 2/3 minus 3/4 divided by 1/4
amm1812
<span>I believe that the answer would be -0.35416666666</span>
7 0
3 years ago
Other questions:
  • You put $280 in a one-year CD that will earn 4.5% a year, calculated semiannually. How much simple interest will you earn?
    15·1 answer
  • What is the measure of D?
    9·2 answers
  • Amelia and Elliott are collecting empty soda cans for recycling. Amelia has 13 less than 5 times the cans that Elliott has. Toge
    8·1 answer
  • Are you guys all in k12? I’m an 8th grader
    12·2 answers
  • Solve this problem, and identify the percent, amount, and base. what percent of 50 is 20?
    11·2 answers
  • The mean score was 72. The standard deviation was 7 percentage-points. Based on this information, what is the best
    15·1 answer
  • Look at this please i dont need help im just trying to tell everybody something
    10·1 answer
  • Original price $77.00<br> markdown: 32%<br> sale price
    6·1 answer
  • A random number generator picks a number from 6 to 66 in a uniform manner. Round answers to 4 decimal places when possible.
    9·1 answer
  • Directions: Decide which measurement is larger, by converting to the same measurement.
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!