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

Expert Solution

P(X > 2) = P(X = 3) + P(X = 4)

= 0.015 + 0.001

= 0.016

orchestra answered 11 months 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.

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?

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...

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.

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)

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?

1. Suppose that two fair dice are rolled. Find the probability that the number on the...

1. Suppose that two fair dice are rolled. Find the probability that the number on the first die is a 6 or the number on the second die is a 2.

a) A pair of fair dice is thrown. What is the probability of rolling a value...

a) A pair of fair dice is thrown. What is the probability of rolling a value between 8 and 11, inclusive? (Write your answer as a decimal rounded to 3 decimal places.) b) What is the probability of drawing a black face card when a single card is randomly drawn from a standard deck of 52 cards? (Write your answer as a decimal rounded to 3 decimal places.)

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...

Question