Homework Answers
When two events are said to be independent of each other, what this means is that the probability that one event occurs in no way affects the probability of the other event occurring.
A. Yes as the outcome of one die does not affect the outcome of the other
B. No as event C depends on event B
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3. Consider independently rolling two fair dice, one red and the other green. Let A be...
In a dice game, the player independently rolls a fair red die and a fair green...
In a dice game, the player independently rolls a fair red die and a fair green die.The player wins if and only if the red die shows a 1, or 2, or 3, or if the total on the two dice is 11. What is the probability the player will win?
You roll two fair dice, one green and one red. (a) Are the outcomes on the dice independ...
You roll two fair dice, one green and one red. (a) Are the outcomes on the dice independent? Yes No (b) Find P(5 on green die and 3 on red die). (Enter your answer as a fraction.) 2 (c) Find P(3 on green die and 5 on red die). (Enter your answer as a fraction.) 3 (d) Find P((5 on green die and 3 on red die) or (3 on green die and 5 on red die)). (Enter your answer...
Kurt is rolling two dice. One is blue in colour and the other is red in...
Kurt is rolling two dice. One is blue in colour and the other is red in colour. [A] a) What is the probability that he will roll a sum of 3 or 9? [1 mark] b) What is the probability that he will roll a 4 on the blue die OR the red die? [2 marks] c) What is the probability that he gets a sum of 9 or rolls a 4 on either die?
|-/4 POINTS BBUNDERSTAT12 4.2.017.MI. You roll two fair dice, one green and one red. (a) Are...
|-/4 POINTS BBUNDERSTAT12 4.2.017.MI. You roll two fair dice, one green and one red. (a) Are the outcomes on the dice Independent? Yes No (b) Find P3 on green die and 5 on reddie). (Enter your answer as a fraction.) (Enter your (c) Find P(5 on green die and 3 on red die). (Enter your answer as a fraction.) (d) Find PC(3 on green die and 5 on reddie) or (5 on green die and 3 on red die)). (Enter...
Two standard dice are rolled, one red, one green. Let A be the event that the...
Two standard dice are rolled, one red, one green. Let A be the event that the red die is a either a 4 or a 6, let B be the event that the sum of the dice is grenter than 5 a. Find P(A) c. Find P(A | B) e. Find P(An B) . Find P(A'I B) 10. b. Find P(B) d. Find P(B | A) f. Find P(AnB') h Find P(A'UB) Are events A and B dependent or independent?...
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...
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...
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...
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...
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?
Suppose you roll two dice. Assume one is red and one is blue so that they...
Suppose you roll two dice. Assume one is red and one is blue so that they are distinguishable. Let A be the event "The sum of the two dice is 7." and B be the event "The red die is 4." and C be the event "The difference of the two dice is even." a.) Are A and B independent? Justify your answer. b.) Are B and C independent? Justify your answer. c.) Are A and C independent? Justify your...
|-/4 POINTS BBUNDERSTAT12 4.2.017.MI. You roll two fair dice, one green and one red. (a) Are the outcomes on the dice Independent? Yes No (b) Find P3 on green die and 5 on reddie). (Enter your answer as a fraction.) (Enter your (c) Find P(5 on green die and 3 on red die). (Enter your answer as a fraction.) (d) Find PC(3 on green die and 5 on reddie) or (5 on green die and 3 on red die)). (Enter...
Two standard dice are rolled, one red, one green. Let A be the event that the red die is a either a 4 or a 6, let B be the event that the sum of the dice is grenter than 5 a. Find P(A) c. Find P(A | B) e. Find P(An B) . Find P(A'I B) 10. b. Find P(B) d. Find P(B | A) f. Find P(AnB') h Find P(A'UB) Are events A and B dependent or independent?...
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 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?
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