You roll two fair six-sided dice (with sides numbered 1 to 6) separately. die 1 / die 2 1 2 3 4 5 6 1 (1, 1) 2,1 3,1 4,1 5,1 6,1 2 1,2 2,2 3,2 4,2 5,2 6,2 3 1,3 2,3 3,3 4,3 5,3 6,3 4 1,4 2,4 3,4 4,4 5,4 6,4 5 1,5 2,5 3,5 4,5 5,5 6,5 6 1,6 2,6 3,6 4,6 5,6 (6, 6) Let A be the event that either a two or five is rolled first, followed by an even number. Find P(A). Let B be the event that the sum of the two rolls is at most five. Find P(B). In words, explain what “P(A|B)” represents. Find P(A|B). In words, explain what “P(B|A)” represents. Find P(B|A)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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You roll two fair six-sided dice (with sides numbered 1 to 6) separately.

 

die 1 / die 2

1

2

3

4

5

6

1

(1, 1)

2,1

3,1

4,1

5,1

6,1

2

1,2

2,2

3,2

4,2

5,2

6,2

3

1,3

2,3

3,3

4,3

5,3

6,3

4

1,4

2,4

3,4

4,4

5,4

6,4

5

1,5

2,5

3,5

4,5

5,5

6,5

6

1,6

2,6

3,6

4,6

5,6

(6, 6)

Let be the event that either a two or five is rolled first, followed by an even number. Find P(A)

Let B be the event that the sum of the two rolls is at most five. Find P(B)

In words, explain what “P(A|B)” represents. Find P(A|B). 

In words, explain what “P(B|A)” represents. Find P(B|A). 

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