Question 855276: We throw two dices and we suppose that 6 x 6 = 36 outcomes have equal probability. Suppose that B is the event where both dices are odd or both dices are even, and C the event where the smaller number of the two dices is at least "4".
Are B, C indepedent?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! We throw two dices and we suppose that 6 x 6 = 36 outcomes have equal probability.
B is the event where both dices are odd or both dices are even:: 18
C the event where the smaller number of the two dices is at least "4"::8
Are B, C indepedent?
P(B) = 18/36 = 1/2
P(C) = 8/36 = 2/9
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P(B)*P(C) = 1/9
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P(B |C) = 4/8 = 1/2
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Since P(B|C) does not equal P(B)*P(C),
B and C are dependent.
Cheers,
Stan H.
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