QUESTION 3 I [12] A student must answer a multiple-choice question with five possible answers. He knows the correct answer with

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QUESTION 3 I [12] A student must answer a multiple-choice question with five possible answers. He knows the correct answer with

probability 0.55. If he does not know the correct answer, he randomly guesses one of the possible answers. a) Draw a tree diagram and clearly define all relevant events.

Mathematics

1 answer:

wel · Answer 1 · 2023-03-05T22:38:06+03:00

The probability that the student does not know the answer but he randomly guesses it is 0.146025

<h3>How to solve for the probability of having a correct guess</h3>

The question has only one right answer out of 5 choices.

Probability he answers incorrectly:

1 - 0.55 * 4/5

= 0.45 * 0.8

= 0.36

Probability he does not know answer but answers the question correctly

$\frac{(1-0.55)\frac{1}{5} }{0.55+(1-0.55)\frac{1}{5} }$

= 0.09/0.55+0.09

= 0.140625

Read more on probability here: brainly.com/question/24756209