Joe takes part in math competitions. A particular contest consists of 25 multiple-choice questions, and each question has 5 possible answers. It awards 6 points for each correct answer, 1. 5 points for each answer left blank, and 0 points for incorrect answers. Joe is sure of 12 of his answers. He ruled out 2 choices before guessing on 4 of the other questions and randomly guessed on the 9 remaining problems. What is his expected score? 69. 2 75. 6 90. 8 97. 2.

Respuesta :

The expected score that Joe can obtain provided the probability of the left-out questions being correct as per the given situation is 90.8.

Points secured by Joe by answering correctly = 12*6 = 72

What is probability?

Probability is the conversion of possibilities or occurrences in numbers.

Now, the probability of a correct guess in the questions in which Joe eliminated 2 choices = 1/3

So, the possible marks of Joe in those 4 questions = 1/3*4*6=8

Probability of correct guess in remaining 9 random guesses= 1/5

So, the possible marks that Joe can score in those 9 random guesses = 1/5*9*6 = 10.8

Therefore, the expected score of Joe = 72+8+10.8 = 90.8

To get more about probability refer to the link,

brainly.com/question/25870256