# math

posted by .

A 10-item multiple choice test with 4 options (A,B,C,D) is given to a class in English, what is the probability that the studentâ€™s answers are of the same letters

• math -

let's pick one of the letters, say the A
Prob(A) = 1/4
you want that to happen 10 times in a row
prob(10 A's) = (1/4)^10

but the same reasoning can be used for each of the 4 letters, so
prob(10 of the same letter) = 4(1/4)^10 = (1/4)^9

## Similar Questions

1. ### Math

A student guesses on every ??? of a multiple choice test that has 9 quetions, each with 3 possible answers. what's the probability the student will get at least 7 of the questions right?
2. ### Math

a 10 question multiple choice test has 4 possible answer for each question. A student selects at least 6 correct answers. Find probability of this event: (multiple choice) A) .118 B) .995 C) .068 D) .571
3. ### statistics

10. A student is taking a multiple choice test where each question have 5 possible answers of which only one is right. If the student knows the answer the student answers correctly, otherwise there is a 20% probability of correct answer. …
4. ### statistics

A student is taking a multiple choice test where each question have 5 possible answers of which only one is right. If the student knows the answer the student answers correctly, otherwise there is a 20% probability of correct answer. …
5. ### statistic

A multiple-choice test has 48 questions, each with four response choices. If a student is simply guessing at the answers, a. What is the probability of guessing correctly for any question?
6. ### psychology statistics for behavioral sciences

A multiple-choice test has 48 questions, each with four response choices. If a student is simply guessing at the answers, a. What is the probability of guessing correctly for any question?
7. ### probability and statistics

a multiple choice test onsists of 8 questions, each with 4 possible answers but only one of which is correct.what is the probability that an unprepared student will, by chance, get, a. all correct answers, b. exactly 5 correct answers, …
8. ### probability

a multiple choice test consists of 8 questions, each with 4 possible answers but only one of which is correct.what is the probability that an unprepared student will, by chance, get, a. all correct answers, b. exactly 5 correct answers, …
9. ### statistics

A math test consists of 17 multiple choice questions, each with five possible answers (a, b, c, d, e), only one of which is correct. Assume that a student takes the test and randomly answers the questions. What is the probability that …
10. ### Statistics Algebra 2

A 10-question multiple choice test has 4 possible answers for each question. A student guesses on all ten answer. a)What is the probability that the student selects at least 6 correct answers?

More Similar Questions