Consider the experiment of rolling two dice. You win if you roll a sum that is...

Consider the experiment of rolling two dice. You win if you roll a sum that is at least 7 and at most 12. Find the probability of a win.

Expert Solution

P(win) = 6/36 + 5/36 + 4/36 + 3/36 + 2/36 + 1/36 = 21/36 = 0.583

orchestra answered 2 years ago

Consider the experiment of rolling two dice and the following events: A: 'The sum of the...

Consider the experiment of rolling two dice and the following events: A: 'The sum of the dice is 8' and B: 'The first die is an odd number' and C: "The difference (absolute value) of the dice is 2" Find (a) p(A and B) (HINT: You cannot assume these are independent events.) (b) p(A or B) (c) Are A and B mutually exclusive events? Explain. (d) Are A and B independent events? Explain. (e) Are B and C independent events? Explain.

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

1. Suppose you perform an experiment that consists of rolling two dice and recording their sum....

1. Suppose you perform an experiment that consists of rolling two dice and recording their sum. a. What is the sample space of this experiment? b. Find the probability that the sum is either even or more than 9. c. Find the probability that the sum is odd and a multiple of 3. d. Find the expected sum. 2. When Fernando took MAT 257 last semester, he got the same exact score, 85%, in both Test 1 and Test 2....

Throw two dice. If the sum of the two dice is 6 or more, you win...

Throw two dice. If the sum of the two dice is 6 or more, you win $43. If not, you pay me $117 . Step 2 of 2 : If you played this game 907 times how much would you expect to win or lose? Round your answer to two decimal places. Losses must be entered as negative.

You roll two fair dice. Let A be the event that the sum of the dice...

You roll two fair dice. Let A be the event that the sum of the dice is an even number. Let B be the event that the two results are different. (a) Given B has occurred, what is the probability A has also occurred? (b) Given A has occurred, what is the probability B has also occurred? (c) What is the probability of getting a sum of 9? (d) Given that the sum of the pair of dice is 9...

This problem concerns the dice game craps. On the first roll of two dice, you win...

This problem concerns the dice game craps. On the first roll of two dice, you win instantly with a sum of 7 or 11 and lose instantly with a roll of 2,3, or 12. If you roll another sum, say 5, then you continue to roll until you either roll a 5 again (win) or roll a 7 (lose). How do you solve for the probability of winning?

Throw two dice. If the sum of the two dice is 6or more, you win $9.If...

Throw two dice. If the sum of the two dice is 6or more, you win $9.If not, you pay me $30. Step 1 of 2: Find the expected value of the proposition. Round your answer to two decimal places. Losses must be expressed as negative values.

for the experiment of rolling an ordinary pair of dice, find the probability that the sum...

for the experiment of rolling an ordinary pair of dice, find the probability that the sum will be even or a multiple of 6. ( you may want to use a table showing the sum for each of the 36 equally likely outcomes.)

Find the probability of rolling a sum of two dice that is a 7 or a...

Find the probability of rolling a sum of two dice that is a 7 or a 12. Round answer to 4 decimal places.

Roll two dice simultaneously once. Let A be the event that the sum of the two...

Roll two dice simultaneously once. Let A be the event that the sum of the two dice is 8 and B be the event that at least one of the dice is odd. a) Find P(A) and P(B). Express your answer as a FRACTION. b) Find P(A given B) and P(B given A). Express your answer as FRACTIONS. Are A and B independent? Explain. c) Find P(A and B). Express your answer as a FRACTION. d) Find P(A or B)....

Question