An unbiased die is rolled 10 times. (a) What is the probability that exactly 4 threes will occur? (b) What is the probability that exactly 4 of any one number alone will occur? (c) What is the probability that two numbers occur exactly 4 times?



An unbiased die is rolled 10 times. (a) What is the probability that exactly 4 threes will occur? (b) What is the probability that exactly 4 of any one number alone will occur? (c) What is the probabi...
A fair die is rolled 10 times. What is the probability that an odd number (1, 3 or 5) will occur less than 3 times? A. .0547 B. .1172 C. .1550 D. .7752 E. .8450
Problem 8 A fair die is rolled 10 times. What is the probability that the rolled die will not show an even number?
A die is rolled four times. Find the probability of getting 5 exactly two times.
What is the probability that a fair six-sided die rolled five times comes up 6 exactly once?
A die is rolled 9 times. Find the probability of rolling exactly 1 six. The probability is _______ (Round to four decimal places as needed.)
Two fair six-sided dice are rolled. What is the probability that one die shows exactly three more than the other die (for example, rolling a 1 and 4, or rolling a 6 and a 3)
A fair die is rolled seven times. Calculate the probability of obtaining exactly two 6s. (Round your answer to four decimal places.)
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.]
A six-sided die is to be rolled three times. Assume the rolls are independent and that the die is fair. - The probability that all three rolls result in an even number is: A) 1.0 B) 0.75 C) 0.25 D) 0.125 - The probability that at least one of the rolls is an even number is: A) 0.125 B) 0.333 C) 0.750 D) 0.875 - The events A = exactly two of the rolls are even and B = exactly...
1) If a fair die is rolled 25 times, what is the probability that a 3 is obtained exactly 3 times? Round your answer to the nearest thousandth. Use 1/6 as 0.167 in your calculations. 2) If X has a geometric distribution with parameter p = 0.523, calculate p(X=8) Round your answer to the nearest thousandth. 3) The number of imperfections in an object has a Poisson distribution with a mean λ = 8.3. If the number of imperfections is...