10.lf two dice are rolled one time, find the probability of getting a sum of 6 or 9.

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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Applied Mathematics
10.lf two dice are rolled one time, find the probability of getting a sum of
or 9.
Solution:
(1, 1) (1,2) (1,3) (1,4) (1,5) (1,6)]
|(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)
|(3, 1) (3,2) (3,3) (3,4) (3,5) (3,6)|
S=.
|(4,1) (4, 2) (4,3) (4, 4) (4, 5) (4,6)
(5, 1) (5, 2) (5,3) (5, 4) (5, 5) (S,6)|
(6, 1) (6,2) (6,3) (6, 4) (6,5) (6,6)J
n(s) =36
Sum of 6:
A = {(1,5),(2,4),(3,3),(4,2),(5,1)}
n(A) = 5
Sum of 9:
B = {(3,6),(4,5),(5,4) ,(6,3))}
n(B) = 4
ANB = { }
n(A N B) = 0
P( A or B) = P(A) + P(B) – P(A n B)
5
4
(5+ 4 – 0)
9
P(A or B) :
36
36
36
36
36
Transcribed Image Text:10.lf two dice are rolled one time, find the probability of getting a sum of or 9. Solution: (1, 1) (1,2) (1,3) (1,4) (1,5) (1,6)] |(2,1) (2,2) (2,3) (2,4) (2,5) (2,6) |(3, 1) (3,2) (3,3) (3,4) (3,5) (3,6)| S=. |(4,1) (4, 2) (4,3) (4, 4) (4, 5) (4,6) (5, 1) (5, 2) (5,3) (5, 4) (5, 5) (S,6)| (6, 1) (6,2) (6,3) (6, 4) (6,5) (6,6)J n(s) =36 Sum of 6: A = {(1,5),(2,4),(3,3),(4,2),(5,1)} n(A) = 5 Sum of 9: B = {(3,6),(4,5),(5,4) ,(6,3))} n(B) = 4 ANB = { } n(A N B) = 0 P( A or B) = P(A) + P(B) – P(A n B) 5 4 (5+ 4 – 0) 9 P(A or B) : 36 36 36 36 36
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