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Answer to Question #7311 in Algebra for yao comlan

Question #7311
a number cube is rolled and a quarter is tossed.Find P(even number and heads)
Expert's answer
Assume that the cube and the quarter are fair, that is
for each number 1..6
the probability to get it on the cube is the same
and equal to 1/6, and also
the probability to get either head or tail on
the coin is the same
1/2.

Hence the probability to get an even number on the cube is

P(even number) = P(2) + P(4) + P(6) = 1/6 * 3 = 1/2.


Moreover,
assume that rolling of the cube and tossing of a quarter are
independent,
hence
P(even number and heads) = P(even number) *
P(heads)
= 1/2 * 1/2 = 1/4.

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