ou conduct an experiment tossing a fair coin. Let (X, Y) be random variables, where X is the number of heads that occurs in two tosses and Y is the number of tails that arises in two tosses.  Find P (X=1, Y=1). Separately, find P( X=0, Y= 0).  Note you need to find two answers here, and the answer to your first question does not influence the second question- that is, the questions are independent.     0.50 and 0.50     0.0 and 0.50     0.50 and 0.0     .25 and .25

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Author:Amos Gilat
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You conduct an experiment tossing a fair coin. Let (X, Y) be random variables, where X is the number of heads that occurs in two tosses and Y is the number of tails that arises in two tosses. 
Find P (X=1, Y=1). Separately, find P( X=0, Y= 0). 

Note you need to find two answers here, and the answer to your first question does not influence the second question- that is, the questions are independent.

   

0.50 and 0.50

   

0.0 and 0.50

   

0.50 and 0.0

   

.25 and .25

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