In a multiple choice exam, there are 5 questions and 4 choices for each question (a, b, c, d). Francis has not studied for the exam at all and decides to randomly guess the answers. What is the probability that Francis gets at least one question correct?

A bag of marbles contains 4 red, 3 blue, 2 green and 1 yellow marble.  Half of the red and green marbles are glass, and all of the other marbles are polished stone.  What is the probability of selecting: Add the colors together to determine how many marbles are in the bag.  This will become the right side of the answer.  Determine how many marbles exactly fit the specified criteria to find the left side.  Remember to reduce if necessary. A yellow stone marble:  Ratio: ____ : ____ A blue or green stone marble: Ratio:  _____ : _____ Two red marbles in a row without replacement: Ratio:  _____ : _____ Three glass marbles in a row with replacement:  Ratio: _____ : _____

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?

A student randomly guesses at 7 multiple choice questions.  Each question has five possible answers.  What is the probability that the student gets exactly 3 correct answers?

A bag of marbles contains 4 red, 3 blue, 2 green and 1 yellow marble.  Half of the red and green marbles are glass, and all of the other marbles are polished stone.  What is the probability of selecting: Add the colors together to determine how many marbles are in the bag.  This will become the right side of the answer.  Determine how many marbles exactly fit the specified criteria to find the left side.  Remember to reduce if necessary. A yellow stone marble:  ____ : ____ A blue or green stone marble:  _____ : _____ Two red marbles in a row without replacement:  _____ : _____ Three glass marbles in a row with replacement:  _____ : _____

On a 7 question multiple-choice test, where each question has 3 answers, what would be the probability of getting at least one question wrong? Give your answer as a fraction

On a 9 question multiple-choice test, where each question has 4 answers, what would be the probability of getting at least one question wrong?Give your answer as a fraction

a city council consist of eight democrats and four republicans. if a ommittee of four people is selected, find the probability of selecting two democrats and two republicans  simplify the answer

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.