Two dice are thrown simultaneously find the probability of getting sum on two dice is factor of 6
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Answer:
answer is1/6
Step-by-step explanation:
Let 'S' be the sample space.
S={(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)
(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)}
n(S)=36
Let A be the event which is getting sum on two. dice is factor of 6
A={(1, 5)(2, 4)(3, 3)(4, 2)(5, 1)(6, 6)}
n(A)=6
n(P)=n(A)/n(S)
=6/36
=1/6
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