Find the conditional probability, in a single roll of two fair 6-sided dice, that neither die...

Find the conditional probability, in a single roll of two fair 6-sided dice, that neither die is a

three,given that the sum is greater than 7.

Expert Solution

orchestra answered 2 years ago

6 fair 12-sided dice are rolled. (a) [3 marks] Find the conditional probability that at least...

6 fair 12-sided dice are rolled. (a) [3 marks] Find the conditional probability that at least one die lands on 3 given that all 6 dice land on different numbers. (b) [2 marks] True or False: If X is the maximum of the 6 numbers from one roll, and Y is the minimum of the 6 numbers from one roll, then X and Y are independent random variables.

You roll two, fair (i.e., not weighted) 6-sided dice once. What is the probability that: 3a....

You roll two, fair (i.e., not weighted) 6-sided dice once. What is the probability that: 3a. The sum is 11 or more? (1 Point) 3b. The sum is 7? (1 Point) 3c. The sum is 6? (1 Point) 3d. Thesumis6or8? (1Point) 3e. The sum is less than 4? (1 Point) 3f. The sum is something other than 2, 7, or 11? (2 Points)

You roll a fair six-sided die and don't look at it. What is the probability that...

You roll a fair six-sided die and don't look at it. What is the probability that it is a 5 given that your friend looks and tells you that it is greater than 2? Leave your answer as a fraction.

You have two 5-sided fair dice. If you roll any individual die, the possible results are...

You have two 5-sided fair dice. If you roll any individual die, the possible results are 1, 2, 3, 4, or 5 each equally likely. Let A1 be the random result on the first die, and A2 be the random result on the second die. We define the random variable A = A1 + A2, the sum of values of two dice. Assume the signal X(t) = A for all times t. (a) Is A a discrete or a continuous...

a) Find the conditional probability of the indicated event when two fair dice (one red and...

a) Find the conditional probability of the indicated event when two fair dice (one red and one green) are rolled. The sum is 7, given that the green one is either 6 or 2. b) Find the conditional probability of the indicated event when two fair dice (one red and one green) are rolled. The red one is 3, given that the sum is 5.

So, roll a fair 6-sided dice once, and if the result is 1,2,3, or 4 then...

So, roll a fair 6-sided dice once, and if the result is 1,2,3, or 4 then toss a fair coin 3 times. If the first result is 5, 6, then toss a fair coin until two tails show up. Then, what is the expected value of number of heads? PLZ help me with this!!! THX soooooo much!

You roll TWO six-sided die. Find the probability of each of the following scenarios in fractions....

You roll TWO six-sided die. Find the probability of each of the following scenarios in fractions. 1. P(sum=2) 2. P(sum is less than or equal to 4) 3. P(sum=13) 4. P(product)= 20 (Product means multiply) 5. P(product less than or equal to 12)

You roll TWO six-sided die. Find the probability of each of the following scenarios in fractions....

You roll TWO six-sided die. Find the probability of each of the following scenarios in fractions. 1. P(sum=2) 2. P(sum is less than or equal to 4) 3. P(sum=13) 4. P(product)= 20 (Product means multiply) 5. P(product less than or equal to 12)

suppose you roll two fair dice. A) what is the probability that you will roll an...

suppose you roll two fair dice. A) what is the probability that you will roll an even number on the first die AND a 5 on the second die B) What is the probability that the sum of the numbers on the two dice is 9? show all work.

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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Find the conditional probability, in a single roll of two fair 6-sided dice, that neither die...

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6 fair 12-sided dice are rolled. (a) [3 marks] Find the conditional probability that at least...

You roll two, fair (i.e., not weighted) 6-sided dice once. What is the probability that: 3a....

You roll a fair six-sided die and don't look at it. What is the probability that...

You have two 5-sided fair dice. If you roll any individual die, the possible results are...

a) Find the conditional probability of the indicated event when two fair dice (one red and...

So, roll a fair 6-sided dice once, and if the result is 1,2,3, or 4 then...

You roll TWO six-sided die. Find the probability of each of the following scenarios in fractions....

You roll TWO six-sided die. Find the probability of each of the following scenarios in fractions....

suppose you roll two fair dice. A) what is the probability that you will roll an...

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

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Find the conditional​ probability, in a single roll of two fair​ 6-sided dice, that neither die...

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Find the conditional probability, in a single roll of two fair 6-sided dice, that neither die...