He then has probability 1-in-3 of guessing the right answer. E For the other 25% of questions, he must guess from all four answers, with probability 1-in-4 of guessing correcuy § Make a tree diagram for the outcome of a single question. To conduct the simulation of a 10 question quiz, assign random digits as shown. • Let the digits 00 to 74 represent the 75% of questions that Matt can eliminate one answer choice as obviously wrong. • Let the digits 75 to 99 represent the 25% of questions that Matt cannot eliminate an answer choice. Stage 2 when Matt can eliminate one answer choice as obviously wrong: • Let the digits 00 to 32 represent a correct answer choice. • Let the digits 33 to 99 represent an incorrect answer choice. Stage 2 when Matt must guess from all four answers: • Let the digits 00 to 24 represent a correct answer choice. • Let the digits 25 to 99 represent an incorrect answer choice. Questions are independent. To simulate the quiz, simulate 10 questions starting on line 102 from Table A. Matt needs to get at least six questions right to pass the quiz. Estimate the number of questions Matt gets correct using the results from the simulation. Matt's score: