You roll 48 dice all at once. If you add up only the even numbers rolled,...

You roll 48 dice all at once. If you add up only the even numbers rolled, what is the chance that the sum will be 104 or more??

Expert Solution

orchestra answered 2 years ago

Suppose you roll three fair six-sided dice and add up the numbers you get. What is...

Suppose you roll three fair six-sided dice and add up the numbers you get. What is the probability that the sum is at least 16?

A pair of dice are rolled. Let A be the event as “the first dice roll...

A pair of dice are rolled. Let A be the event as “the first dice roll is 3” and event B as “the second dice roll is 4”. Let event C be as “the sum of the dice rolls are 7.” a) Show that A and B are independent, that A and C are independent, and that B and C are independent. b) Show that A, B, and C are not mutually independent.

A pair of fair dice are rolled once. Suppose that you lose $7 if the dice...

A pair of fair dice are rolled once. Suppose that you lose $7 if the dice sum to 3 and win $12 if the dice sum to 4 or 12. How much should you win or lose if any other sum turns up in order for the game to be fair. I got a negative answer and im not sure thats correct.

assign probabilities to the outcomes sample space of 3 rolled dice. do probabilities add up to...

assign probabilities to the outcomes sample space of 3 rolled dice. do probabilities add up to 1.

Two fair dice are rolled: a) What is the probability of an even number or a...

Two fair dice are rolled: a) What is the probability of an even number or a 3 on the first die? Are these two events mutually exclusive and why? b) What is the probability of an even number on the first die and a 5 on the second? Is conditional probability involved in this case? Why or why not?

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)....

Dice Suppose that a red die and a green die are rolled and the numbers on...

Dice Suppose that a red die and a green die are rolled and the numbers on the sides that face upward are observed. (See Example 7 of this section and Example 2 of the first section.) (a) What is the probability that the numbers add up to 9? (b) What is the probability that the sum of the numbers is less than S?

a. Two dice are rolled; find the probability that the sum of the two numbers is...

a. Two dice are rolled; find the probability that the sum of the two numbers is 7. b. If one card is drawn from a standard deck, find the probability of getting a spade card or a Queen. c. A couple has 3 children, find the probability that exactly one are girls.

You roll 3 four-sided dice. What is the probability that you get an even number on...

You roll 3 four-sided dice. What is the probability that you get an even number on all 3 dice?

You roll two six-sided even dice. What is the probability that you get a score of...

You roll two six-sided even dice. What is the probability that you get a score of at least 11? a. 2/11 b. 1/12 c. 1/18 d. 1/6     You toss a fair coin 3 times in a row. What is the probability of getting at most two heads? a. 3/4 b. 1/4 c. 3/8 d. 7/8

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