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
FrozenT [24]
2 years ago
14

Katie dropped 5 nickels on the floor. What is the probability that all the nickels will land with heads facing up?

Mathematics
1 answer:
Vinil7 [7]2 years ago
3 0

Using the binomial distribution, it is found that there is a 0.03125 = 3.125% probability that all the nickels will land with heads facing up.

For each coin, there are only two possible outcomes, either it lands on heads, or it lands on tails. The landing of a coin is independent of other coins, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • 5 nickels, hence n = 5.
  • They are equally as likely to land on heads or tails, hence p = 0.5

The probability that all the nickels will land with heads facing up is P(X = 5), hence:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 5) = C_{5,5}.(0.5)^{5}.(0.5)^{0} = 0.03125

0.03125 = 3.125% probability that all the nickels will land with heads facing up.

A similar problem is given at brainly.com/question/24863377

You might be interested in
Find the slope of the line that contains the points.<br> (4,54) and (9,24)
Naya [18.7K]
<span>the Slope would be (m) =<span>-6</span></span>
8 0
3 years ago
Read 2 more answers
Adratic Formula
maw [93]

Answer:

Step-by-step explanation:

discriminant=5²-4×1×7=25-28=-3<0

no real number solution.

5 0
3 years ago
Read 2 more answers
G2 – 4g – 21 = (g – )(g + )
Sloan [31]
<span>g^2 – 4g – 21 = (g – 7)(g +3 )

hope it helps</span>
8 0
3 years ago
Read 2 more answers
Please help!!! I will give you BRIANLEIST AND A HEARTED COMMENT AND 5 STARS if you can explain this:(
Agata [3.3K]

Answer:

I can do this give me a min

4 0
2 years ago
the price of a dress is $40.00. it went to sale at a discount of 25%. if the sales tax is 6% what is the final cost of the dress
Delvig [45]
 So first you figure out what 25% of $40.00 is whitch would be $30.00. Then what i think you would do next is add 6% of the cost of the dress. 6% of $30.00 is $1.80. so $30.00 + $1.80 = $31.80 dollors for the dress.
8 0
3 years ago
Other questions:
  • A library building is in the shape of a rectangle. Its floor has a length of (3x + 5) meters and a width of (5x − 1) meters. The
    6·1 answer
  • A lighthouse is 90 feet above sea level. The angle of depression from the top of the lighthouse to the center of the rock is 35
    13·1 answer
  • The maximum weight allowed per car on The Twister carnival ride is 263 pounds. Your friend weighs 86 pounds. To be able to ride
    7·1 answer
  • How this is so hard plz help me on this
    10·1 answer
  • How can technology be utilized to complete constructions?
    8·1 answer
  • Why does the LL theorem hold for proving right triangles congruent?
    11·2 answers
  • Find the approximate perimeter of rectangle ABCD plotted below.
    12·2 answers
  • Partial products of 310x434
    9·2 answers
  • Someone please help me
    9·1 answer
  • I need help with this ASAP
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!