In a history class, Colin and Diana both take a multiple choice quiz. There are 10 questions. Each question has five possible answers. What is the probability that: a) Colin will pass the test if he guesses an answer to each question? b) Diana will pass the test if she studies so that she has a 75% chance of answering each question correctly?

Find the indicated probability. A multiple choice test has 12 questions each of which has 5 possible answers, only one of which is correct. If Judy, who forgot to study for the test, guesses on all questions, what is the probability that she will answer exactly 3 questions correctly?

Beth is taking an eleven question multiple-choice test for which each question has three answer choices, one of which is correct.Beth decides on answers by rolling a fair die and marking the first answer choice if the die shows 1 or 2 ,the second if the die shows 3 or 4,and the third if the die shows 5 or 6. Find the probability of the stated event. Exactly five correct answers. The probability of Beth getting exactly five correct answers is

Pablo randomly picks five marbles from a bag of eleven marbles (six red ones, three green ones, and two yellow ones).   How many outcomes are there in the event that all of the marbles he picks are red?

A slot machine has 3 dials. Each dial has 30 positions, one of which is "Jackpot". To win the jackpot, all three dials must be in the "Jackpot" position. Assuming each play spins the dials and stops each independently and randomly, what are the odds of one play winning the jackpot?    1/30 = 0.03 or 3%   3/(30+30+30) = 3/90 = 0.33 or 33%   3/(30×30×30) = 3/27000 = 0.0001 or 0.01%   1/(30×30×30) = 1/27000 = 0.00003 or 0.003%     Question 18

A student takes a 28-question multiple-choice exam but did not study and randomly guesses each answer. Each question has three possible choices for the answer. Find the probability that the student guesses more than 75% of the questions correctly.