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.
a. (i) Compute the probability of obtaining exactly 8 successes in the 10 rolls.
b. (ii) Find the probability of obtaining at least 8 successes.
c. (iii) Determine the probability that no success is obtained in the 10 rolls.