4. You roll two fair dice, a blue one and a yellow one. a. Find P(even...
You roll two dice, one is red and one is blue. a.) Are the outcomes independent? Why or why not? b.) Find P (2 on red die). c.) Find P (4 on blue die). d.) Find P (2 on red die and 4 on blue die) e.) Find P (3 on red die and 6 on blue die) f.) Find P (2 on red die and 4 on blue die) or (3 on red die and 6 on blue die).
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...
|-/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...
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...
Suppose you roll two fair 6-sided dice, and A is the event that both dice are even, and B is the event that the sum of the dice is 9 or more.Hint: 2.4, and the very first problem of this worksheet quiz.(a) Find P(A)(b) Find P(B)(c) Find P(A ∪ B)(d) Find P(Ac ∩ Bc)
Two fair dice, one blue and one red, are tossed, and the up face on each die is recorded. Define the following events: E:{The sum of the numbers is even } F:{A6 on the blue die } Find the following probabilities:(a) P(E)=18 / 36(b) P(F)=4 / 36(c) P(E ∩ F)=Are events E and F independent?A. yesB. no
You roll two fair dice. Let E be the event that an even total shows on the dice. Let F be the event that a three shows on at least one of the dice. Find P(F) and P(F | E).A. P(F)=1/3, P(F | E)=5/18B. P(F)=11/36, P(F | E)=5/18C. P(F)=1/3, P(F | E)=1/13D. P(F)=11/36, P(F | E)=7/18
You roll two six-sided fair dice. a. Let A be the event that either a 4 or 5 is rolled first followed by an even number. P(A) = Round your answer to four decimal places. b. Let B be the event that the sum of the two dice is at most 5. P(B) = Round your answer to four decimal places. c. Are A and B mutually exclusive events? d. Are A and B independent events?
You have two fair 6-sided dice. One is red and the other is blue. When you roll them X=red-blue and Y=red+blue. a) Find the joint distribution of (X,Y). b) Find the covariance of X and Y
Question 5: You are given a fair red die and a fair blue die, and roll both dice uniformly at random and independently of each other. Define the events A = “the sum of the results is at least 9”, B = “at least one of the two rolls results in a 2”, C = “at least one of the two rolls results in a 5”. • Determine Pr(A), Pr(B), and Pr(C). • Determine Pr(B | C). • Are the...