Two standard dice are rolled, one red, one green. Let A be the event that the...
LINEAR ALGEBRA, please show all your work and clearly circle answer. thank you! 3, 4 3. Two fair dice are rolled, one red and one green, and the numbers on the top faces are noted. Let event E be "red number is 3 or 4 or 5" and event F be "sum is 10 or higher." Are E and F independent or dependent? 4. Bag 1 contains four red and five blue marbles, and Bag 2 contains two red and...
Suppose two dice (one red, one green) are rolled. Consider the following events. A: the red die shows 1; B: the numbers add to 6; C: at least one of the numbers is 2; and D: the numbers do not add to 11. Express the given event in symbolic form. HINT [See Example 5.] Either the numbers add to 11 or the red die shows a 1. D ∩ B D ∩ A D' ∪ A D' ∩ A D'...
Suppose two dice (one red, one green) are rolled. Consider the following events. A: the red die shows 1; B: the numbers add to 5; C: at least one of the numbers is 3; and D: the numbers do not add to 11. Express the given event in symbolic form. Either the numbers add to 11 or the red die shows a 1. DNB DNA D'UA D'NA DUB How many elements does it contain?
Suppose two dice (one red, one green) are rolled. Consider the following events. A: the red die shows 1; B: the numbers add to 4; C: at least one of the numbers is 1; and D: the numbers do not add to 9. Express the given event in symbols. HINT [See Example 5.] Either the numbers add to 9 or the red die shows a 1. D ∩ B D ∩ A D' ∪ A D' ∩ A D' ∪...
Suppose two dice (one red, one green) are rolled. Consider the following events.A: the red die shows 5.B: the numbers add to 4.C: at least one of the numbers is 3.D: the numbers do not add to 10.Express the event "The numbers do not add to 4." in symbols.1B D D' B' B' ∪ DHow many elements does it contain?2
We roll a green die and a red die. Let A be the event that the sum of the numbers shown is 7 and let B be the event that both dice show odd numbers. Are events A and B independent? Show your work. Thank you :)
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.
Suppose two dice (one red, one green) are rolled. Consider the following events. A: the red die shows 4; B: the numbers add to 4; C: at least one of the numbers is 4; and D: the numbers do not add to 10. Express the given event in symbols. HINT [See Example 5.] The numbers do not add to 4. a) How many elements does it contain?
3. Consider independently rolling two fair dice, one red and the other green. Let A be the event that the red die gets a 3, B be the event that the green die gets a 4, and C be the event that the total number showing on the two dice is 7. A. Are A and B independent? Explain. B. Are B and C independent? Explain.
1. Roll a pair of dice, one red and one green. Now, define the following events: A is the event that at least one of the dice will be an even number B is the event that the sum of the die will be equal to 7; C is the event that at least one of the dice is equal to 1 (a) Draw a picture of the sample space. (b) List all the outcomes for each of the events...