wo dice are rolled. The sum of the dice is a 4 or a 8.
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Compute the probability of the compound event occurring.
Two dice are rolled, and the sum of the two dice is recorded. Which sum has the highest probability of occurring?
8. Suppose a pair of dice are rolled 3000 times and the sum on the dice is 2 on 480 of those rolls. What is the empirical probability that the sum on the dice is 2? (6 pts.)
Two dice are rolled. What is the probability of getting a sum equals 8? Probability = (Round to 4 decimal places)
If two fair dice are rolled, find the probability that the sum of the dice is 10, given that the sum is greater than 4. The probability is (Simplify your answer. Type an integer or a simplified fraction.)
(A) A pair of dice is rolled one time, what is the probability of getting sum of 8 or double. (B) A pair of dice is rolled 5 times, what is the probability of getting sum of 8 or double on all 5 rolls
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?
4. Dice #1 is rolled a single tine. 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?
5. A pair of dice is rolled until a sum of either 5 or 7 appears. Find the probability that a 5 occurs first. (Hint: Let Fn denote the event that a 5 occurs on the nth roll and no 5 or 7 occurs on the first n 1 rolls. Compute P(F) and argue that PF) is the desired probability.)
5. A pair of dice is rolled until a sum of either 5 or 7 appears. Find the probability that a 5 occurs first. (Hint: Let Fn denote the event that a 5 occurs on the nth roll and no 5 or 7 occurs on the first n 1 rolls. Compute P(Fn) and argue that Σ 1 P(F, ) is the desired probability.)
Rolling Dice 2. A pair of dice is rolled. Here is the sample space (all of the possible outcomes) of rolling a pair of dice. First Die a) In how many different ways can we roll a 7 (as the sum of the two dice)? What is the probability of rolling a 7? 2 3 4 5 6 7 3 4 5 6 7 8 b) In how many ways can we roll a sum that is divisible by 3?...