ProbabilityHard
Question
A child throws 2 fair dice. If the numbers showing are unequal, he adds them together to get his final score. On the other hand, if the numbers showing are equal, he throws 2 more dice & adds all 4 numbers showing to get his final score. The probability that his final score is 6 is -
Options
A.
B.
C.
D.
Solution
When dice are thrown
equal no. = {(1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6)}
Unequal no. whose sum is six =
{(1, 5), (5, 1), (4, 2), (2, 4)}
Probability of getting six with unequal no. =
When numbers are equal then getting sum six in four dice is
so probability of getting six =
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