1. Suppose that you are taking a quiz of 6 multiple- choice questions (the instructor chose the questions randomly), each question having 6 possible responses. You did not study at all for the quiz and will randomly guess the correct response for each question. The random variable X is the number of correct responses.

State the values of n and p (±0.0001):
n =
p =

Calculate the probability (±0.0001) that you will pass this quiz by correctly responding to at least 4 of the 6 questions:

Find the probability (±0.0001) that you will not pass the quiz :

1 answer

The probability of getting any one question right = 1/6.

"at least 4 of the 6" means 4, 5 or 6 correct.

If the events are independent, the probability of both/all events occurring is determined by multiplying the probabilities of the individual events.

P(4) = 1/6^4 * 5/6^2 = ?

P(5) = ?

P(6) = ?

Either-or probabilities are found by adding the individual probabilities.