Please explain in detail, it's for practice!
total possibilities of Rolling three dice = 6*6*6= 216
Rolling three six =
Rolling two sixes
Case 1 =
Case 2=
Case 3=
Probability of getting atleast two sixes =
correct option is (a) 0.074
Please explain in detail, it's for practice! 7. A 6-sided die is rolled 3 times. Find...
6. A fair six sided die is rolled three times. Find the probability that () all three rolls are either 5 or 6 (6) all three rolls are even (c) no rolls are 5 (d) at least one roll is 5 (e) the first roll is 3, the second roll is 5 and the third roll is even
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...
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...
A fair 6-sided die rolled 5 times. what is the probability that at least one of the rolls is 2
We roll a fair 8-sided die five times. (A fair 8-sided die is equally likely to be 1, 2, 3, 4, 5, 6, 7, or 8.) (a) What is the probability that at least one of the rolls is a 3? (b) Let X be the number of different values rolled. For example, if the five rolls are 2, 3, 8, 8, 7, then X = 4 (since four different values were rolled: 2,3,7,8). Find E[X].
A fair 6-sided die is rolled and you note whether the number facing up is even or odd. If an even number is rolled then a fair coin is flipped three more times and the number of heads is noted. But if an odd number is rolled then the coin is flipped only twice more and the number of tails is noted. How many possible outcomes are there for this experiment? (a) 43 (b) 20 (c) 7 (d) 45 (e)...
A 6 -sided die is rolled. Find P(3 or 5 ).A) 1/36B) 1/3C) 1/6D) 2
a) If a single six-sided die is rolled five times, what is the probability that a 6 is thrown exactly three times? b) A person receives an average of one e-mail message per half-hour interval. Assume that e-mails are received randomly in time, find the probabilities that in a particular hour 0,1,2,3,4,5 messages are received.
A regular six-sided die is rolled 9 times. What is the probability of getting a 1 or 6 on exactly 7 of those rolls?
A single six-sided die, whose faces are numbered 1 to 6, is rolled n times. The die is fair, each face is equally likely to land upward when the die is rolled. Let X be the number of times that the number on the upward face of the die is 1. Find the mean and the standard deviation of the random variable X.