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Real Numbers

Question
CBSEENMA10009371

Two dice are thrown simultaneously. Find the probability that the sum of the two numbers appearing on the top is less than or equal to 10.

Solution

Let A be the favourable outcomes of getting the sum of the two numbers appearing on the top is less than or equal to 10, then

A = (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)

(6.1),    (6,2), (6,3)/ (6,4) i.e., n( A) = 33

Therefore,  
rightwards double arrow space space space space space space space space straight P left parenthesis straight A right parenthesis space equals space fraction numerator straight n left parenthesis straight A right parenthesis over denominator straight n left parenthesis straight S right parenthesis end fraction equals 33 over 36 equals 11 over 12