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...
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?...
Please answer all parts Suppose two dice (one red, one green) are rolled. Consider the following events. A: the red die shows 3; 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. HTe ple. Either the numbers add to 4, or they add to 9, or at least one of them is 1. BUD'UC How many elements does it...
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.
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.
1. We have a bag with 10 red marbles, 3 blue marbles and 5 green marbles in it. What is the probability of randomly selecting a green marble from the bag? 2. If a number is randomly chosen from the following list, what is the probability that the number is a multiple of 4? [32, 49, 55, 30, 56, 28, 50, 40, 40, 45.3.25) 3. In a single throw of two fair dice, what is the probability that a doublet...
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.
6. Two dice are rolled, and the events F and T are as follows: F={The sum of the dice is four} and T={At least one die shows a three} Find P(F∪T). 7. The probability that this weekend will be cold is .6, the probability that it will be rainy is .7, and probability that it will be both cold and rainy is .5. What is the probability that it will be neither cold nor rainy? 8. Suppose a jar contains...
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
discrete math 1) a. A box contains 4 marbles: 1 red, 1 blue, 1 green, 1 yellow. Consider an experiment that consists of taking 1 marble from the box, replacing it and then drawing a second marble. Describe the sample space. How does the sample space differ if the first marble was not replaced before the second marble was drawn? (2 marks) a. A bag contains 5 red balls and 8 blue balls. Each time a ball is selected, its...
1. We roll two fair 6-sided dice. Compute the probabilities of the following events. (a) The sum is at most 6. (b) The sum is more than 6. (c) The sum is at most 6 and at least one die is a 4. 2. Consider the letters a,b,c. Suppose we draw 2 of the letters at random (allowing for repetition). Assume order matters. That is, ab is not the same as ba: Let A : The 2 letters are distinct....