Answer only the last three subparts please. I already received the first 3.(d) Are the events F and G disjoint (mutually exclusive)?(yes, no) (e) Find P(F or G). (f) What is the probability that the sum is 3, given that the green one is either 1 or 2? Two fair 4-sided dice are rolled (one red and one green each numbered 1-4). One particularoutcome could be (1,4) (red 1, green 4), while another different outcome could be (4,1) (red 4,green 1). Define the following events:• F: at least one of the two dice shows a three• G: the red die shows a number that is bigger than the green die2The following are the 16 outcomes in the sample space S.Green13 42(1,1) (1,2) (1,3) (1,4)12(2,1) (2,2) (2,3) (2,4)Red 3 (3,1) (3,2) (3,3) (3,4)4 (4,1) (4,2) (4,3) (4,4)For parts (a)-(e), round your answers to 4 decimal places.(a) Find P(F). 0.4375(b) Find P(G). 0.3750(c) Find P(F and G). 0.1875(d) Are the events F and G disjoint (mutually exclusive)?(yes, no)(e) Find P(F or G).(f) What is the probability that the sum is 3, given that the green one is either 1 or 2?

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Answered: (d) Are the events F and G disjoint…

(d) Are the events F and G disjoint (mutually exclusive)?(yes, no) (e) Find P(F or G). (f) What is the probability that the sum is 3, given that the green one is either 1 or 2?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Answer only the last three subparts please. I already received the first 3.

(d) Are the events F and G disjoint (mutually exclusive)?(yes, no)

(e) Find P(F or G).

(f) What is the probability that the sum is 3, given that the green one is either 1 or 2?

Two fair 4-sided dice are rolled (one red and one green each numbered 1-4). One particular
outcome could be (1,4) (red 1, green 4), while another different outcome could be (4,1) (red 4,
green 1). Define the following events:
• F: at least one of the two dice shows a three
• G: the red die shows a number that is bigger than the green die
2
The following are the 16 outcomes in the sample space S.
Green
1
3 4
2
(1,1) (1,2) (1,3) (1,4)
1
2
(2,1) (2,2) (2,3) (2,4)
Red 3 (3,1) (3,2) (3,3) (3,4)
4 (4,1) (4,2) (4,3) (4,4)
For parts (a)-(e), round your answers to 4 decimal places.
(a) Find P(F). 0.4375
(b) Find P(G). 0.3750
(c) Find P(F and G). 0.1875
(d) Are the events F and G disjoint (mutually exclusive)?(yes, no)
(e) Find P(F or G).
(f) What is the probability that the sum is 3, given that the green one is either 1 or 2?

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