two dice are thrown simultaneously. find the probability of getting a doublet, sum as a even number, the sum divisible by 5
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Answer:
2 possibilities ; 6 and 4 , 5 and 5
Step-by-step explanation:
Answered by
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Step-by-step explanation:
two dice , so n(s) = 6² = 36
a) p.of.getting doublet
A = {(1,1), (2,2), (3,3), (4,4), (5,5), (6,6)}
n(A) = 6
p(A) = n(A) / n(s)
p(A) = 6/36 = 1/6
b) p.of.getting sum as even
A = {(1,1), (1,3), (1,5), (2,2), (2,4), (2,6), (3,1), (3,3), (3,5), (4,2), (4,4), (4,6), (5,1), (5,3), (5,5), (6,2), (6,4) , (6,6)}
n(A) = 18
p(A) = 18 / 36 = 1/2
c) p.of. sum divisible by 5
A = { (1,4) (2,3) (3,2) (4,1) (4,6) (5,5) (6,4) }
n(A) = 7
p(A) = 7/ 36
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