A quick quiz consists of a multiple-choice question with 3 possible answers followed by a multiple-choice question with 4 possible answers. If both questions are answered with random guesses, find the probability that both responses are correct. Report the answer as a percent rounded to two decimal place accuracy. You need not enter the "%" symbol. Probability = Incorrect%

Respuesta :

lucic

Answer:

8.33%

Step-by-step explanation:

Given that the quiz has;

A multiple-choice question with 3 possible answers

A multiple-choice question with 4 possible answers

In the first question;

⇒The three choices,each has the probability of 1/3 to be picked

In the second question;

⇒The four choices, each has a probability of 1/4 to be picked

1/4

Finding the probability that both responses are correct will be;

1/3* 1/4 =1/12

As a percentage will be

1/12 * 100= 8.33%

The probability that both responses are correct will be 8.33%.

Given that,

The quiz has;  a multiple choice question with 3 possible answers,

And a multiple-choice question with 4 possible answers.

We have to find,

The probability that both responses are correct.

Probability = Incorrect%

According to the question,

The three choices ,each has the probability of [tex]\frac{1}{3}[/tex] to be picked,

And the four choices, each has a probability of [tex]\frac{1}{4}[/tex]  to be picked.

 Then, Finding the probability that both responses are correct will be;

=[tex](\frac{1}{3}) (\frac{1}{4} )[/tex] = [tex]\frac{1}{12}[/tex]

As a percentage will be,

[tex]= (\frac{1}{12}) (100)[/tex] = 8.33%

Hence, The probability that both responses are correct will be 8.33%.

For the more information about Probability click the link given below.

https://brainly.com/question/23044118

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