Consider rolling two 6-sided dice. What is the probability that at least two of the rolls...

Consider rolling two 6-sided dice. What is the probability that

at least two of the rolls have a sum that exceeds 6?
at least 7 of the rolls have a sum that is even?
exactly three rolls have a sum that equals 5?

Expert Solution

Colby Messinger answered 1 year ago

Consider rolling two regular, fair, 6-sided dice 10 times. What is the probability that at least...

Consider rolling two regular, fair, 6-sided dice 10 times. What is the probability that at least two of the rolls have a sum that exceeds 6. at least 7 of the rolls have a sum that is even. exactly three rolls have a sum equaling 5.

Rolling doubles When rolling two fair, 6-sided dice, the probability of rolling doubles is 1/6. Suppose...

Rolling doubles When rolling two fair, 6-sided dice, the probability of rolling doubles is 1/6. Suppose Elias rolls the dice 4 times. Let W = the number of times he rolls doubles. The probability distribution of W is shown here. Find the probability that Elias rolls doubles more than twice. Value 0 1 2 3 4 Probability 0.482 0.386 0.116 0.015 0.001

1. Amy rolls 15 8-sided dice. What is the probability that at least 2 of the...

1. Amy rolls 15 8-sided dice. What is the probability that at least 2 of the rolls are 5s? Answer: 0.5759 2. Amy shoots 10 arrows at a target. Each arrow hits the target (independently) with probability 0.3. What is the probability that at least 3 of the arrows hit the target? Answer: 0.6172 3. Amy shoots 64000 arrows at a target. Each arrow hits the target (independently) with probability 0.3. What is the probability that more than 2 of...

Rolling a dice 15 times, find the probability of 6 consecutive rolls have 6 distinct numbers....

Rolling a dice 15 times, find the probability of 6 consecutive rolls have 6 distinct numbers. (i.e. 423123456..., 45612335626..., etc.)

Consider the game consisting of rolling a pair of fair 6-sided dice and recording the sum....

Consider the game consisting of rolling a pair of fair 6-sided dice and recording the sum. It will cost you $1 to play the game. If the sumis less than 5, then you will win $3. However, you do not get your $1 back so your profit is $2. If you roll a sum of exactly8, thenyou will win $4. However, you do not get your $1 back so your profit is $3. Otherwise, you lose your $1. A.What is...

What is the probability of rolling 6, 6 sided die and achieving a score of 18?...

What is the probability of rolling 6, 6 sided die and achieving a score of 18? (6 die, each one is 6 sided)

Consider rolling two four sided dice. One die is blue and the other is green. (a)...

Consider rolling two four sided dice. One die is blue and the other is green. (a) State the sample space. (b) Compute the probability of getting two even numbers. (c) Compute the probability of getting an even sum if the blue die rolls a 2. What is the probability of drawing a four or a heart when drawing a single card from a standard deck of cards.

Consider a random experiment of rolling 2 dice. What is probability of rolling a sum larger...

Consider a random experiment of rolling 2 dice. What is probability of rolling a sum larger than 9? Select the best answer. A. 0.5 B. 0.1667 C. 0.2333 D. None of the above

Rolling a pair of 12 sided dice and summing the numbers find the following: The probability...

Rolling a pair of 12 sided dice and summing the numbers find the following: The probability distribution of the sums. Sums= P(Sums)

Find the probability that: Rolling a fair die 3 times, at least two dice are less...

Find the probability that: Rolling a fair die 3 times, at least two dice are less than 4. Previous answers have suggested 0.875 (189 feasible cases/ 216 total cases). However, from simple trial and error we can see that there are more than 27 cases where this answers fails. For example is the first dice gets a 4 and the 2nd dice gets 4,5,6 and the last dice gets any number, there is already 18 cases here that are not...

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