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
Anna007 [38]
3 years ago
12

On each round, Ann and Bob each simultaneously toss a fair coin. Let Xn be the number of heads tossed in the 2n flips which occu

r during the first n rounds. For each integer m > 0, let rm denote the probability that there exists an n such that Xn = m.
Mathematics
1 answer:
CaHeK987 [17]3 years ago
8 0

Answer:

P=\frac{2n!}{m!*(2n-m)!}*0.5^{2n}

Step-by-step explanation:

In a coin toss the  probability of tossing a head is 0.5 (50% head/50% tails)

If n is the number of rounds and 2n the number of coins tossed (one for each player), the probability of having m heads tossed is:

R=\frac{2n!}{m!*(2n-m)!}

R is the number of cases (combination of coins tossed) that gives a m number of heads. Each case has a probability of P_{case}=0.5^{2n} so:

P=\frac{2n!}{m!*(2n-m)!}*0.5^{2n}

<u>For example, to toss 4 heads in 5 rounds: </u>

  • n=5
  • 2n=10
  • m=4

P=\frac{10!}{4!*(10-4)!}*0.5^{10}

P=\frac{10*9*8*7*6!}{4!*6!}*0.5^{10}

P=\frac{10*9*8*7}{4!}*0.5^{10}

P=\frac{10*9*8*7}{4!}*0.5^{10}=0.205

You might be interested in
Does anyone know how to answer this question I'm having a lot of trouble with it?
Helen [10]

Answer:

h = \frac{2A}{(b+c)}

Step-by-step explanation:

Formula for the area of a trapezoid is,

Area (A) = \frac{1}{2}(b+c)h

Here b and c are the bases and 'h' is the height of the trapezoid.

2A = 2[\frac{1}{2}(b+c)h]

2A = (b + c)h

\frac{2A}{(b+c)}=h

Therefore, formula for the height of the trapezoid will be,

h = \frac{2A}{(b+c)}

5 0
3 years ago
Which two equations are equivalent
Naya [18.7K]

Answer: a and b

Step-by-step explanation:

8 0
3 years ago
Pasagot po please...........​
topjm [15]

Answer:

1) ASA

2) SAS

3) SAS

4) SAS

5) SSS

3 0
3 years ago
Standard form of 5y=35+10x what is the answer
ss7ja [257]

Answer: y=7+2x

Step-by-step explanation: Divide 5 by all. 5y/5=35/5 +10x/5.

4 0
3 years ago
How long would the string be in meters if it is 120 centimeters
nexus9112 [7]
1 meter = 100 centimeters, so 120 centimeters equal to 1.2 meters.
4 0
4 years ago
Other questions:
  • after making 20 servings of pasta a chef has used 30 cloves of garlic the shaft use 6 cloves to make the first four servings how
    9·1 answer
  • What is the distance between the points (8, 3) and (8, −6) ?
    14·2 answers
  • GEOMETRY HELP PLEASE!!!
    9·2 answers
  • I will make brainliest to first person!!!!!!!!
    12·2 answers
  • What additional information would you need to prove that ΔABC ≅ ΔDEF by ASA?
    6·1 answer
  • (8.91 times 10 Superscript 2 Baseline) (3.3 times 10 Superscript 12 Baseline)
    12·1 answer
  • A 12 ft ladder is placed 5 feet from a building. Approximately how high does the ladder reach? Round to the nearest tenth, if ne
    8·1 answer
  • Can somebody please help, i'll mark you as brainiest and no links:)​
    11·2 answers
  • Which of the statements about the y-axis are true? I.The y-axis is a vertical number line that passes through the origin.II.The 
    8·1 answer
  • ∣1/12 − 5/6∣ − (2/5 + 1/10) <br><br> I WILL GIVE BRAINLYST
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!