TWO DICE ARE ROLLED SIMULTANEOSLY .WHAT IS THE PROBABLITY OF SUM LESS THAN 8
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The probability of a total greater than 8 given that the first die is 6 is therefore 4/6 = 2/3. More formally, this probability can be written as: p(total>8 | Die 1 = 6) = 2/3.
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(i) 8
Total number of outcomes =36
Probability that sum of two numbers is 8 =
Total no. of outcomes
No. of outcomes where sum is 8
=
36
5
(ii) Less than or equal to 12
Total number of outcomes =36
Probability that sum of two numbers is less than or equal to 12 =
Total no. of outcomes
No. of outcomes where sum is less than or equal to 12
=
36
36
=1
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