(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?
(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
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Author:Amos Gilat
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Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Answer only the last three subparts please. I already received the first 3.
(d) Are the
(e) Find P(F or G).
(f) What is the
![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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F68f51e6c-f342-4689-afb0-0310aec96525%2F5385548b-9650-4a15-871d-e60ba97b3a8c%2Flmr5a8_processed.png&w=3840&q=75)
Transcribed Image Text: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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