Complete question :
A student forgets to study for an exam consisting of ten multiple choice questions, each with three possible answers. Instead, the student will have to randomly guess, so that there is a 1 3 probability of getting any arbitrary question right. If 6 or more correct answers is a passing score, what is the probability of passing
Answer:
0.07656
Step-by-step explanation:
Given that:
P(correct guess) = 1/3 ; p= 0.33333
Number of questions /trials = 10
P(x ≥ 6) = p(6) + p(7) + p(8) +... + p(10)
This is the sum of the probabilities of getting exactly 6, 7, 8, 9 or 10 questions.
Using the binomial probability calculator to save computation time :
P(x ≥ 6) = 0.07656