document.write( "Question 872615: Which of the following is NOT true? \r
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document.write( "A. If an event cannot possibly occur, then the probability of the event is a negative number.
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document.write( "B. If only two outcomes are possible for an experiment, then the sum of the probabilities of
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document.write( "the outcomes is equal to 1.
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document.write( "C. If events A and B are mutually exclusive events, then P(A Ç B) = 0.
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document.write( "D. A probability must be less than or equal to 1.\r
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document.write( "Thank you so much! \n" );
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Algebra.Com's Answer #526261 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! Which of the following is NOT true? \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A. If an event cannot possibly occur, then the probability of the event is a negative number.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "This is false because if something can't occur (and it's guaranteed it can't), then the probability is 0. If p is a probability, then 0 <= p <= 1.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "--------------------------------- \n" ); document.write( "B. If only two outcomes are possible for an experiment, then the sum of the probabilities of the outcomes is equal to 1.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "This is true. All probabilities must add to 1. So cross it off the list since we want things that are not true.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "--------------------------------- \n" ); document.write( "C. If events A and B are mutually exclusive events, then P(A Ç B) = 0.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I think you meant to write P(A ∩ B) = 0. If so, then this is true if events A and B are mutually exclusive events. So just like we did with choice B, cross it off the list.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "--------------------------------- \n" ); document.write( "D. A probability must be less than or equal to 1.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The probability must also be greater than or equal to 0. In other words, 0 <= p <= 1. Choice D isn't 100% true because it's missing crucial info, so I'd say it's false.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "=================================================================================\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the answers are A and D. \n" ); document.write( " |