Find the conditional probability. Round to 3 decimal places. If two fair dice are rolled, find...
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.
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.
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.
If two fair dice are rolled, find the probability of the following result. A double, given that the sum was 8. The probability is _______ (Type an integer or a simplified fraction.)
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...
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?
if you have two fair dice that are rolled, what is the probability of a sum 6 given that the roll is a 'double'?
Find the conditional probability, in a single roll of two fair 6-sided dice, that the sum is less than 6, given that the sum is even The probability is 2 (Type an integer or a simplified fraction) 1
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 6 7 The probability is 12 (Type an integer or a simplified fraction)