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Mark53
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Homework Statement
(a) Suppose a fair six-sided die is rolled once. Let A be the event that an even face occurs and B be the event that a face less than 4 occurs. Are the events A and B independent? Show this mathematically.
(b) A fair coin is tossed three times. Let A be the event that the first toss is a Head and let B be the event all three are the same. Are the events A and B independent? Show this mathematically
The Attempt at a Solution
[/B]
a)
I know that:
P(A) = 1/2
P(B) = 1/2
but I don't know how to show that they are independent
b)
I know that P(A)=1/2 , P(B) = 1/8
but don't know how to show that they are independent
any help would be much appreciated