MATHEMATICS · Multi-part · AP · AP Statistics · Probability Random Variables Distributions · Probability Random Variables Distributions
Problem
A biased die is rolled 10 times. Each roll is considered a “success” if the number appearing on the top face is 1 or 2.
For every single roll, the probability of success is 31.
(i) Compute the probability of obtaining exactly 8 successes in the 10 rolls.
(ii) Find the probability of obtaining at least 8 successes.
(iii) Determine the probability that no success is obtained in the 10 rolls.