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
Nitella [24]
2 years ago
13

On a multiple-choice test, each question has 4 possible answers. A student does not know

Mathematics
1 answer:
Mnenie [13.5K]2 years ago
6 0

Answer:

1.56% probability that the student gets all three questions right

Step-by-step explanation:

For each question, there are only two possible outcomes. Either the student guesses the answer correctly, or he does not. The probability of the student guessing the answer of a question correctly is independent of other questions. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

Each question has 4 possible answers, one of which is correct.

So p = \frac{1}[4} = 0.25

Three questions.

This means that n = 3

What is the probability that the student gets all three questions right?

This is P(X = 3)

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

P(X = 3) = C_{3,3}.(0.25)^{3}.(0.75)^{0} = 0.0156

1.56% probability that the student gets all three questions right

You might be interested in
Determine type of triangle PLZZ ASAP
g100num [7]

Answer:

scalene right

Step-by-step explanation:

no side congruent and right

8 0
3 years ago
Use a table of trigonometric values to find the angle θ in the right triangle in the following problem. Round to the nearest deg
Firdavs [7]
Heyyyyyy new friends and I have no clue what the answer is cause I don’t feel like reading that but anyway yea nfs?
4 0
2 years ago
What is the correct answer? <br> AD||BC <br> DC||AB <br> None
anygoal [31]

DC||AB is the answer

3 0
3 years ago
Read 2 more answers
I seem to be confused can anyone please help
Genrish500 [490]
Use photo math :>some helpful info
6 0
3 years ago
What is 48% of 60? This is for Algebra 1! :)
coldgirl [10]

Answer:

48% of 60 is 28.8.

4 0
3 years ago
Read 2 more answers
Other questions:
  • Jennys lawn is 1/3 of an acre. after mowing 1/2 of the lawn, how much of an acre has she mowed
    14·1 answer
  • Which of the following would have a scale factor with an absolute value greater than 1?
    13·1 answer
  • What is the value of m in the equation one-half m minus three-fourths n equals 16, when n equals 8? 20 32 44 48
    10·2 answers
  • The length of a rectangle is 4 yd longer than its width. If the perimeter of the rectangle is 48 yd, find its area.
    14·1 answer
  • -3x-6y=11. 2x+y = 4 solving linear systems using multiplication and addition show your work
    14·1 answer
  • The line y=15x Intersex the quadratic function y=15x^2 at two points. what are the coordinates of the two points of intersection
    7·1 answer
  • How do I solve 8 x 4 + 9 - 9 + 8
    13·2 answers
  • You should multiply by 4 before adding 16 to solve the inequality 11 &gt;<br>16​
    12·1 answer
  • Please help i asked million times .
    6·2 answers
  • PLEASE HELP ASAP ! <br> Pictures are linked below thank you
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!