six fair dices are each labelled {1,2,2,3,3,3} and are rolled the same time. What is the probability of the six dices resulted in a sum of 10?
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six fair dices are each labelled {1,2,2,3,3,3} and are rolled the same time. What is the...
Two fair dices were rolled. Part (a): How many possible outcomes there will be, if the order of dices are considered? Part (b): How many possible outcomes there will be, if the sum of the dices are recorded? Part (c): What is the probability of getting a result with the sum exactly equals to 6? Part (d): What is the probability of getting a result with the sum less than 6?
Suppose that you flip five fair coins and roll three fair dices at the same time and all the events are independent. (a) What is the probability that exactly two coins land heads up and one dice shows a six? (b) What is the probability that at least four coins land heads up and two dices show a number less than three? (c) What is the probability that the total number of heads is an even-number and the addition of...
Two fair dices were rolled. 27. How many possible outcomes there will be, if the order of dices are considered? 28 How many possible outcomes there will be, if the sum of the dices are recorded? 29. What is the probability of getting a result with the sum exactly equals to 6? (Round to 4 decimal places, if needed 0 What is the probability of getting a result with the sum less than 6? (Round to 4 decimal places, if...
Suppose that four fair dices are rolled independently, compute the probability that the results are two different pairs.
When a fair die is rolled, it has equal chance to show one of six faces, labelled 1 through 6. If it is rolled 10 times, what is the probability that there are at least three 6's?
If sixteen 8-sided fair dice are rolled at the same time, what is the probability that each number will appear twice?
A) Suppose I roll two fair six-sided dice. What is the probability that I rolled a total of 5? B) Suppose I roll two fair six-sided die and I announce that the sum of the two die is 6 or less. What is the probability that I rolled a total of 5?
4. Dice #1 is rolled a single time. Dice #2 is rolled repeatedly. The game stops at the first time that the sum of the two dices is 4 or 7. What is the probability that the game stops with a sum of 4?
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...
(MA-262 review) A fair six-sided die is rolled four times, and each result is recorded, in order. Determine (a) the probability that there are exactly two results (among the four) that are each a 3, and (b) the probability that the sum of the four results is 23. [Answers: 0.11574, 0.0030864.]