1. A pair of fair dice is thrown, what is the probability that the sum of...
.1. A pair of fair dice is thrown, what is the probability that the sum of the two numbers is greater than 10.
2. A pair of fair dice is thrown. Find the probability that the sum is 9 or greater if
a. If a 6 appears on the first die.
b. If a 6 appears on at least one of the dice.
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1. A pair of fair dice is thrown, what is the probability that the sum of...
2. Two dice are thrown. a. What is the probability that a A w KI 4...
2. Two dice are thrown. a. What is the probability that a A w KI 4 appears on one die only KI b. What is the probability that at least one 4 appears? Ki c. What is the probability of rolling a sum of6 or doubles d. What are the odds against of rolling a pair, followed by two even K2 numbers in 2 consecutive rolls?
9. A pair of fair dice are thrown in a gambling problem. Person A wins if...
9. A pair of fair dice are thrown in a gambling problem. Person A wins if the sum of numbers showing up is six or less and one of the dice shows four. Person B wins if the sum is five or more and one of the dice shows a four. Find: (a) The - y probability that A wins, (b) the probability of B winning, and (c) the prob- ability that both A and B win.
Problem 2. (30 points) a) (5 points) In rolling 3 fair dice, what is the probability...
Problem 2. (30 points) a) (5 points) In rolling 3 fair dice, what is the probability of obtaining a sum not greater than 77 b) (5 points) In rolling 2 fair dice, what is the probability of a sum greater than 3 but not exceeding 6? o) (5 points) Given that the frstroll was an odd number what is the probability that sum exceeds 6? The notation for this is P(A I B)- Probability(sum exceeds 6 given that the first...
A pair of fair dice is rolled
A pair of fair dice is rolled. What is the probability of each of the following? (Round your answers to three decimal places.) (a) the sum of the numbers shown uppermost is less than 5and (b)at least one 5 is cast
1. Two fair dice are thrown. What is the conditional probability that the to- tal score...
1. Two fair dice are thrown. What is the conditional probability that the to- tal score is 7 given that the score on the first die is 4? Justify your answer using the definition of conditional probability.
If two fair dice are rolled, find the probability that the sum of the dice is...
If two fair dice are rolled, find the probability that the sum of the dice is 10, given that the sum is greater than 4. The probability is (Simplify your answer. Type an integer or a simplified fraction.)
8. We roll two fair dice. (1) Given that the roll results in a sum of...
8. We roll two fair dice. (1) Given that the roll results in a sum of 6 or less, what is the conditional probability that doubles are rolled? A "double" means that two dice have the same number (2) Given that the two dice land on different numbers, what is the conditional proba- bility that at least one die roll is a 1?
Two fair dice are thrown. What is the probability of at least one odd number? What...
Two fair dice are thrown. What is the probability of at least one odd number? What is the probability of this if four fair dice are thrown?
If two dice are thrown, what is the probability that the sum is (a) greater than...
If two dice are thrown, what is the probability that the sum is (a) greater than 8 ? (b) neither 7 nor 11 ?
5. What is the correct set notation for the event that "the sum of the two dice is not less than 5 if at...
5. What is the correct set notation for the event that "the sum of the two dice is not less than 5 if at least one die lands with 3 facing up"? 6. Calculate the probability that the sum of the two dice is not less than 5 if at least one die lands with 3 facing up. 7. Are A and B independent? Explain your reasoning. Use for Questions 1-7: Hector will roll two fair, six-sided dice at the...
2. Two dice are thrown. a. What is the probability that a A w KI 4 appears on one die only KI b. What is the probability that at least one 4 appears? Ki c. What is the probability of rolling a sum of6 or doubles d. What are the odds against of rolling a pair, followed by two even K2 numbers in 2 consecutive rolls?
9. A pair of fair dice are thrown in a gambling problem. Person A wins if the sum of numbers showing up is six or less and one of the dice shows four. Person B wins if the sum is five or more and one of the dice shows a four. Find: (a) The - y probability that A wins, (b) the probability of B winning, and (c) the prob- ability that both A and B win.
Problem 2. (30 points) a) (5 points) In rolling 3 fair dice, what is the probability of obtaining a sum not greater than 77 b) (5 points) In rolling 2 fair dice, what is the probability of a sum greater than 3 but not exceeding 6? o) (5 points) Given that the frstroll was an odd number what is the probability that sum exceeds 6? The notation for this is P(A I B)- Probability(sum exceeds 6 given that the first...
1. Two fair dice are thrown. What is the conditional probability that the to- tal score is 7 given that the score on the first die is 4? Justify your answer using the definition of conditional probability.
If two fair dice are rolled, find the probability that the sum of the dice is 10, given that the sum is greater than 4. The probability is (Simplify your answer. Type an integer or a simplified fraction.)
8. We roll two fair dice. (1) Given that the roll results in a sum of 6 or less, what is the conditional probability that doubles are rolled? A "double" means that two dice have the same number (2) Given that the two dice land on different numbers, what is the conditional proba- bility that at least one die roll is a 1?
5. What is the correct set notation for the event that "the sum of the two dice is not less than 5 if at least one die lands with 3 facing up"? 6. Calculate the probability that the sum of the two dice is not less than 5 if at least one die lands with 3 facing up. 7. Are A and B independent? Explain your reasoning. Use for Questions 1-7: Hector will roll two fair, six-sided dice at the...
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