two dice are thrown simultaneously what is the probability of getting a doublet or total of 4
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Answer:
P(getting a doublet or total of 4)= 4/36=1/9
Step-by-step explanation:
Total outcomes when 2 dices are thrown-
(1,1) (2,1) (3,1) (4,1) (5,1) (6,1)
(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)
(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)
(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)
(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)
(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)
Favourable outcomes-
Doublet of 4= (4,4)
Total of 4= (1,3) (3,1) (2,2)
Hence total outcomes=36
Total favourable outcomes= 4
Therefore, Probability= 4/36=1/9
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