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
Debora [2.8K]
3 years ago
5

When we toss a penny, experience shows that the probability (long term proportion) of a head is close to 1-in-2. suppose now tha

t we toss the penny repeatedly until we get a head. what is the probability that the first head comes up in an odd number of tosses (one, three, five, and so on)?
Mathematics
1 answer:
Nana76 [90]3 years ago
7 0
<span>2/3 or 0.66666
       
This is a sum of an infinite series problem. A sequence of 1 will happen with a probability of 0.5 A sequence of 3 will happen with a probability of 1/2^3, 1/8, = 0.125 In general we have an infinite series of 1/2^1 + 1/2^3 + 1/2^5 + ... + 1/2^(2n-1) where n >= 1 The sum of such a series with a constant ratio between sequential terms is S = s1/(1-r) where s1 = first term in the series r = ratio between terms. The value for s1 = 0.5 as shown above and the 2nd term is 0.125. So r = 0.125 / 0.5 = 0.25 And the sum of the infinite series is S = s1/(1-r) S = 0.5/(1 - 0.25) S = 0.5/0.75 S = 2/3 S = 0.666..66 So the probability of the first head coming up in an odd number of tosses is 2/3, or 66.6%</span>
You might be interested in
Please help! Could you answer all!?
Brums [2.3K]

Answer:

1.) 48

2.) 65

3.) 36

Step-by-step explanation:

1.)     If the equation is 6(x-4) and x = 12, then all we have to do is plug in the value of x. When we plug in, all we do is substitute 12 for x because they mentioned in the question that x = 12. So, we end up getting 6(12 - 4). After solving this, we get 48.

2.)     This problem is a lot like the last problem. All we need to do is substitute /plug in the values of x and y into the equation, to get 4(4^2) - 35/7 - (8 + 14). After solving, we get 65.

3.) .     This problem, once again, is also a lot like the last problems. We need to substitute the value of x into the equation 8x+12. Since we know from the problem that x is 3, all we have to do is 8 * 3 + 12.

3 0
3 years ago
Read 2 more answers
A license plate consists of 2 letters followed by 3 digits. How many license plates are possible if the 1st digit cannot be 0, a
zloy xaker [14]

There are 608400 plates are possible.

If the first is A, we have 26 possibilities:

AA, AB, AC,AD,AE ...................................... AW, AX, AY, AZ.

If the first is B, we have 26 possibilities:

BA, BB, BC, BD, BE .........................................BW, BX,BY,BZ

And so on for every letter of the alphabet.

There are 26 choices for the first letter and 26 choices for the second letter. The number of different combinations of 2 letters is:

26×26=676

The same applies for the three digits.

There are 9 choices for the first as first digit cannot be 0

10 for the second,

10 for the third

9×10×10=900

So for a license plate which has 2 letters and 3 digits, there are:

676 × 900 = 608400 possibilities

To learn more about calculating possibilities from the given link

brainly.com/question/4658834

#SPJ4

8 0
2 years ago
a sample of 345 people 129 could tell the difference between two different brands of cheese crackers. Based on this data, what i
grandymaker [24]
1,870. 5,000 divide 345 multiply 129.
7 0
3 years ago
$2,500 principal earning 4%, compounded quarterly, after 4 years $40,000.00 $41,600.00 $2,931.45 $2,924.65
AURORKA [14]

Answer:

Amount= $2933.2

Step-by-step explanation:

The interest of $2,500 principal earning with rate of 4%, compounded quarterly, after 4 years

A= p(1+r/n)^(nt)

P= $2500

r= 4/100= 0.04

t= 4

n = 4*4= 16

A= 2500(1+0.04/16)^(16*4)

A= 2500(1+0.0025)^(64)

A= 2500(1.0025)^64

A= 2500(1.17328)

A= 2933.2

Amount= $2933.2

5 0
3 years ago
Approximately what portion of the box is shaded blue?<br><br> A.2/3. B.9/10<br> C.3/5
OLga [1]
The answer should be b 9/10
7 0
2 years ago
Other questions:
  • 10 POINTS + BRAINLIEST ANSWER!!
    14·1 answer
  • David is making rice for his guests based on a recipe that requires rice, water, and a special blend of spice, where the rice-to
    12·2 answers
  • The energy usage of a light bulb is a function. The input for the function is _________, measured in hours. The output of the fu
    9·1 answer
  • A: x ≤ 6<br> B: x ≥ 8<br> C: x ≥ – 8<br> D: x ≤ – 8
    8·1 answer
  • GEOMETRIC PROBABILITY URGENT?
    15·1 answer
  • Differentiating a Logarithmic Function in Exercise, find the derivative of the function. See Examples 1, 2, 3, and 4.
    12·1 answer
  • You hammer a nail into a tree trunk 10 ft above the ground (and the tree is currently 20 ft tall). The tree grows taller at a ra
    11·1 answer
  • Please I need help in finding the diameter
    9·1 answer
  • A grocery store owner asked the first 20 children who visited the store one day about their favorite snack. This is what type of
    15·1 answer
  • The algebraic expression that represents 2 less than 3 of n is:
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!