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A die is numbered in such a way that its...

A die is numbered in such a way that its faces show the numbers 1, 2, 2, 3, 3, 6. It is thrown two times and the total score in two throws is noted. Complete the following table which gives a few values of the total score on the two throws:What is the probability that the total score is(i) even? (ii) 6?  (iii) at least 6?

Text Solution

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Total number of possible outcomes = 36
(i) Let `E_(1)` = event that total score is even.
`" "n(E_(1)) = 18`
P (total score is even ) = `(18)/(36) = (1)/(2)`
(iii) Let `E_(3)`= event that total socre is at least 6, i.e., 7,8,12.
`therefore " "n(E_(3)) = 15 `
P (total score is at least 6) `= (15)/(36) = (5)/(12)`
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