


A fair die is rolled 3 times. If 1 or 6 lands uppermost in a trail,...
Problem Page A fair die is rolled 6 times. What is the probability that a 6 is obtained on at least one of the rolls? Round your answer to three decimal places.
A fair die is rolled 300 times and each time a number evenly divisble by three is rolled, a success is recorded. Find the probability of obtaining the following: Exactly 100 successes (Round to four decimal places) Exactly 200 successes (Round to four decimal places)
A fair die is rolled seven times. Calculate the probability of obtaining exactly two 6s. (Round your answer to four decimal places.)
A fair die is rolled five times. What is the probability of obtaining a 6, 3, 6, 6 and 6 in that order?
Problem 1 (10 points). If two fair dice are rolled 10 times, what is the probability of at least one 6 (on either die) in exactly five of these 10 rolls? (Hint: For each roll, two dice are rolled at the same time. It is considered as the success if at least one of two dice is 6 and as the failure if neither of dice is 6.]
6. A six sided balanced die is rolled 30 times. The uppermost face is observed on each roll. A. Find the probability that each of the six sides shows up exactly five times. b. Find the probability that the die shows a 1 exactly five times and a 2 exactly 10 times.
a fair die is rolled 8 times. Find: (Please give an explanation for both answers. I'm unsure how to approach the questions) b) what is the probability the die lands on an odd number at least 2 times c) what is the probability the die lands on a 6 at most twice
A fair die is rolled 5 times. What is the probability that a 2 is obtained on at least one of the rolls? Round your answer to three decimal places. (If necessary, consult a list of formulas.)
Suppose a fair die numbered 1 to 5 is rolled 4 times. Complete parts (a) and (b) below. (a) Find the probability distribution for the number of times 3 is rolled. 0 1 2 3 4 P(x) (Round to four decimal places as needed.) (b) What is the expected number of times 3 is rolled? E(x)=(Round to four decimal places as needed.)
A die is rolled 3 times, and success is rolling a 1. (a) Construct the binomial distribution that describes this experiment, with x indicating the number of successes. (Enter your probabilities as fractions.) (b) Find the mean of this distribution. (Enter an exact number as an integer, fraction, or decimal.) (c) Find the standard deviation of this distribution. (Round your answer to three decimal places.)