document.write( "Question 1170102: A and B are the two events in S, and P(A)=0.9 and P(B)=0.6\r
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document.write( "a) Is it possible that P(A ∩ B) = 0.77? Why or why not?
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document.write( "b) What is the largest possible value for P(A ∩ B)?
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Algebra.Com's Answer #795002 by ikleyn(52812)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "(a) Is it possible that P(A ∩ B) = 0.77? Why or why not?\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " ANSWER. It is not possible.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " Explanation. P(A ∩ B) CAN NOT be more than P(A) or P(B).\r\n" ); document.write( "\r\n" ); document.write( " ( it is obvious . . . and everybody must know it . . . )\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "(b) What is the largest possible value for P(A ∩ B)?\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " ANSWER. The largest possible value for P(A ∩ B) is min(P(A),P(B)), which is 0.6 in this case.\r\n" ); document.write( "\r\n" ); document.write( " ( it is obvious . . . and everybody must know it . . . )\r\n" ); document.write( "\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solved, explained and completed.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |