Ask question

Ask question

All categories

3 years ago

10

On a multiple-choice test, each question has 4 possible answers. A student does not know the answers to three questions, so the

student guesses. What is the probability that the student gets all three questions wrong? The probability that the student gets all three questions wrong is . What is the probability that the student gets all three questions right? The probability that the student gets all three questions right is .

1 answer:

olga2289 [7]3 years ago

7 0

Answer:

P(making 3 wrong guesses) = 27/64

P(making 3 right guesses) = 1/64

Step-by-step explanation:

Number of possible answers per question = 4

Number of right answer per question = 1

Number of wrong answers per question = (4 - 1) = 3

Probability = (Number of required outcomes / Number of Total possible outcomes)

A.) probability of guess 3 questions wrong :

Probability of making a wrong guess = (number of wrong options / total number of options

P(making a wrong guess) = 3/4

Therefore,

P(making 3 wrong guesses) = 3/4 × 3/4 × 3/4 = (27/64)

B.) probability of making 3 right guesses:

P(making a right guess) = (number of right options per question / total number of options per question)

P(making a right guess) = 1/4

P(making 3 right guesses) =(1/4 × 1/4 × 1/4) = 1/64

You might be interested in

What is the power of 15<br> ------------------

miv72 [106K]

Answer:

If something is "to the power of 15" then it means it is multiplied by itself 14 times (one less than 15 as the original number is already to the power of 1).

An example:

So 2 to the power of 15, which we write as 215 = 2 * 2 * 2 * 2 etc... (so we have 15 written 2's in total meaning we will make 14 multiplications) is equal to 32,768.

4 0

4 years ago

A right triangle has a leg that measures 15 ft and the hypotenuse measures 24 ft. What would the

Serhud [2]

Answer:

x=19

Step-by-step explanation:

First, you place the numbers in place of the variables in their relative positions using the pythagorean theorem:

$15^{2} +x^{2}=24^{2}$

Then you square the numbers that you currently have:

$225+x^{2}=576$

Then subtract 225 from both sides to isolate the x:

$x^{2} =576-225$

This gives you the equation:

$x^{2} =351$

Then take the square root of both sides which gives you:

$x=18.7349939952$

Then round to the nearest whole number which gives you x=19

3 0

3 years ago

Solve the equation 6w2 – 7w – 20 = 0.

azamat

For this case we have the following quadratic equation:

$6w ^ 2-7w-20 = 0$

Where:

$a = 6\\b = -7\\c = -20$

Its roots will be given by:

$w = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2 (a)}\\w = \frac {- (- 7) \pm \sqrt {(- 7) ^ 2-4 (6) (- 20)}} {2 (6)}\\w = \frac {7 \pm \sqrt {49 + 480}} {12}\\w = \frac {7 \pm \sqrt {529}} {12}\\w = \frac {7 \pm23} {12}$

The roots are:

$w_ {1} = \frac {7 + 23} {12} = \frac {30} {12} = \frac {15} {6} = \frac {5} {2}\\w_ {2} = \frac {7-23} {12} = \frac {-16} {12} = - \frac {8} {6} = - \frac {4} {3}$

Answer:

$w_ {1} = \frac {5} {2}\\w_ {2} = - \frac {4} {3}$

7 0

3 years ago

Read 2 more answers

P - 3.1(6) =-2.1(2) what is the answer and explained

harina [27]

Answer:

P = 14.4

Step-by-step explanation:

Multiply out -3.1(6) and -2.1(2).

P - 18.6 = - 4.2

Add - 18.6 to the other side of the Equation.

P = 14.4

4 0

3 years ago

Erin is creating a table with numbers and their opposites.

adoni [48]

She acciddently put two negative 468's

6 0

4 years ago