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.

Solutions

Expert Solution

orchestra answered 1 year ago

Next > < Previous

Related Solutions

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?

7. [10 marks] Consider an experiment of rolling two regular (or fair) balanced six-sided dice. a)...

7. [10 marks] Consider an experiment of rolling two regular (or fair) balanced six-sided dice. a) List out all the possible outcomes. b) Define X as the amount you will win in the following game. You will win $100 when a double (two identical numbers) is rolled; you will win $10 when an odd sum is rolled; and you will win $30 when other even sum is rolled, excluding doubles. Define X as the amount you will win in this...

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

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...

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...

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.

Q1. Two fair dice are rolled. What is the probability of… a) Rolling a sum of...

Q1. Two fair dice are rolled. What is the probability of… a) Rolling a sum of 4 or doubles? b) Rolling a sum of 4 and doubles c) Rolling a sum of 2, 4 times in a row? Q2. True or False. A discrete sample space is one in which outcomes are counted

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 toss a pair of fair six-sided dice 30 times. What is... The probability that none...

You toss a pair of fair six-sided dice 30 times. What is... The probability that none of the 30 throws give a total of 12? The probability that a total of 7 appears 5 or more times?

Two fair dice are rolled. What is the probability of… a)Rolling a total of 8? b)...

Two fair dice are rolled. What is the probability of… a)Rolling a total of 8? b) Rolling a total greater than 5? c)Rolling doubles? d)Rolling a sum of 6 or a sum of 8? e)Rolling a sum of 4 or doubles? f)Rolling a sum of 4 and doubles? g)Rolling a sum of 2, 4 times in a row?

Subjects