document.write( "Question 1130287: The probability that a student has a Visa card (event V) is .68. The probability that a student has a MasterCard (event M) is .21. The probability that a student has both cards is .03.
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document.write( "(a) Find the probability that a student has either a Visa card or a MasterCard. (Round your answer to 2 decimal places.)
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document.write( "Probability
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document.write( "(b) In this problem, are V and M independent?
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document.write( " Yes
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document.write( "No \n" );
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Algebra.Com's Answer #746972 by ikleyn(52797)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "(a) According to the general formula of the Probability theory,\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " P(V U M) = P(V) + P(M) - P(V & M) = 0.68 + 0.21 - 0.03 = 0.86. ANSWER\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "(b) According to the general definition of the Probability theory, the events V and M are independent IF AND ONLY IF \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " P(V & M) = P(V) * P(M).\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " In our case IT IS NOT SO ==============> therefore, the events V and M are NOT INDEPENDENT.\r\n" ); document.write( "\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solved, answered, explained and completed.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |