Question

Multiple-choice questions each have 6 possible answers, one of which is correct. Assume that you guess the answers to 4 such questions. Use the multiplication rule to find the probability that the first three guesses are wrong and the fourth is correct. That is, find P ( W W W C ) , where C denotes a correct answer and W denotes a wrong answer.

Answer 1

Answer:

5/1296

Step-by-step explanation:

P(correct) = 1/6

P(Wrong)= 5/6

Assume that you guess the answers to 4 such questions.

all events are independent to each other

here W= wrong and C= correct

So,P(WWWC)= P(W)*P(W)*P(W)*P(C)

= 1/6*1/6*1/6*5/6= 5/1296

So, the probability that the first three guesses are wrong and the fourth is correct. = 5/1296