Suppose a fair die is rolled 1000 times. What is a rough approximation to the sum...
2. A fair red die and a fair blue die are rolled 2 times each. What is the probability of the product of numbers on the red die is less then the sum of numbers on the blue die?
A fair die is rolled 12 times. What is the expected sum of the 12 rolls?
2. A fair red die and a fair blue die are rolled 2 times each. What is the probability of the product of numbers on the red die is less then the sum of numbers on the blue die? -Ive already posted this question but the answer given didn't explain how to calculate the number of successful cases. I know the total possible cases is 6*6*6*6=1296, but how do you calculate the number of successful cases?
#6-2 points A fair die is rolled 9 times. What is the expected sum of the 9 rolls? 42
Suppose a fair die is rolled five times. Find the numerical values for the expectations of the maximum numbers.
Suppose a fair die is rolled 10 times. Find the numerical values of the expectations of each of the following random variables: a). the sum of the numbers in the 10 rolls; b). the sum of the largest 2 numbers in the first 3 rolls; c). the maximum number in the first 5 rolls; d). the number of multiples of 3 in the 10 rolls; e). the number of faces which fail to appear in the 10 rolls; f). the...
Problem 8 A fair die is rolled 10 times. What is the probability that the rolled die will not show an even number?
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 fair 6-sided die is rolled three times. Which is more likely: a sum of 11 or a sum of 12? Answer the question by calculating the probabilities for both. Thint 1] There are multiple ways to solve this problem. You may list all the favorable permutations to get the sum. However, this might be tedious and more error-prone. An easier way is to list only the favorable combinations (i.e., 3 numbers regardless of their order), and then find out...
7. (3 points) Given a fair 6-sided die. Each time the die is rolled, the probabilities of rolling any of the numbers from 1 to 6 are all equal. 1) If it is rolled once and let A be the event of rolling a number larger than 3 and B be the event of rolling an odd number. What is P(AV B)? 2) If it is rolled three times, what is the probability that the same number shows up in...