document.write( "Question 470613: Suppose a standard die is rolled twice. Let A be the event a 3 occurs on the first roll, let B be the event that the sum of the two rolls is 7, and let C be the event that the same number is rolled both times.
\n" ); document.write( "Find P(A), P(B), P(A~B) and determine if events A and B are independent.
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Algebra.Com's Answer #322851 by ewatrrr(24785)\"\" \"About 
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\n" ); document.write( "Hi,
\n" ); document.write( "Event A, 3 on the 1st roll P(A) = 6/36 = 1/6
\n" ); document.write( "Event B, sum is 7 P(B) = 6/36 = 1/6
\n" ); document.write( "Event C, double P(C) = 6/36 = 1/6
\n" ); document.write( "If events are independent, then the probability of them both occurring is the
\n" ); document.write( " product of the probabilities of each occurring.
\n" ); document.write( "P(A and B)= P(A)*P(B) = 1/6*1/6 = 1/36 = P(both occur) a 3 rolled and then a 4
\n" ); document.write( " Events A and B are Independent
\n" ); document.write( "___1_2_3__4__5__6 (First roll)
\n" ); document.write( "1|_2_3_4__5__6__7
\n" ); document.write( "2|_3_4_5__6__7__8
\n" ); document.write( "3|_4_5_6__7__8__9
\n" ); document.write( "4|_5_6_\"highlight%287%29\"__8__9_10
\n" ); document.write( "5|_6_7_8__9_10_11
\n" ); document.write( "6|_7_8_9_10_11_12
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