Question

Find the probability of correctly answering the first 5 questions on a multiple choice test if random guesses are made and each question has 6 possible answers.

A.) 6/5
B.)1/15625
C.)1/7776
D.)5/6

Answer 1

The probability of correctly answering the first 5 questions on a multiple choice test with random guesses is 1/7776.

Step-by-step explanation:

To find the probability of correctly answering the first 5 questions on a multiple choice test if random guesses are made and each question has 6 possible answers, we need to find the probability of guessing each question correctly and multiply them together.

1. The probability of guessing the first question correctly is 1 out of 6, or 1/6.
2. The probability of guessing the second question correctly is also 1/6.
3. The probability of guessing the third question correctly is again 1/6.
4. The probability of guessing the fourth question correctly is still 1/6.
5. The probability of guessing the fifth question correctly is, once again, 1/6.

Now, to find the probability of correctly answering all 5 questions, we need to multiply the probabilities together:

P(correctly answering all 5 questions) = (1/6) × (1/6) × (1/6) × (1/6) × (1/6) = 1/7776.

Therefore, the correct answer is C.) 1/7776.

Answer 2

The chance of answering one question correctly is 1/6.
The chance to do this 5 times is (1/6)^5, which is 1/7776.
So I'd vote for answer C.