If two fair dice are rolled, what is the conditional probability that the first one lands on 6 given that the sum of the dice is i? Compute for all i = 2, 3, . . . , 12.
If two fair dice are rolled, what is the conditional probability that the first one lands...
If two fair dice are rolled, what is the conditional probability that the rst one lands on an even number given that the second one lands on a number less than or equal to four? Compute the conditional probability that the second one lands on a number less than four given that the rst one lands on an even number.
Conditional Probability Two fair dice are rolled: (a) Express the sample space S in set builder notation and the probability P "At least one of the dice rolls a four." Write all possible outcomes of A (b) Consider the event A (c) What is the probability that at least one die rolls a four? (d) What is the conditional probability that the first die rolls a four given that the sum of the dice is six? (e) What is the...
1. Find the conditional probability of the indicated event when two fair dice (one red and one green) are rolled. The sum is 4, given that the green one is either 2 or 3. Find the conditional probability of the indicated event when two fair dice (one red and one green) are rolled. The sum is 10, given that the dice have opposite parity.
Problem #3: 5 fair 12-sided dice are rolled. (a) [3 marks] Find the conditional probability that at least one die lands on 3 given that all 5 dice land on different numbers. 6) [2 marks] True or False: If X is the maximum of the 5 numbers from one roll, and Y is the minimum of the 5 numbers from one roll, then X and Y are independent random variables.
Find the conditional probability. Round to 3 decimal places. If two fair dice are rolled, find the conditional probability of a sum of 8 given that the roll is a "double".
Find the conditional probability of the indicated event when two fair dice (one red and one green) are rolled. HINT [See Example 1.] The sum is 4, given that the green one is either 1 or 2.
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.)
(2) Three dice are rolled. If each lands on a different number, find the probability that one is 3. (2) Three dice are rolled. If each lands on a different number, find the probability that one is 3.
A) Suppose I roll two fair six-sided dice. What is the probability that I rolled a total of 5? B) Suppose I roll two fair six-sided die and I announce that the sum of the two die is 6 or less. What is the probability that I rolled a total of 5?
4. Two fair dice are rolled. Compute the probability that the number on the first is smaller than the number on the second