document.write( "Question 204037: Explain in your own words, using the definition of probability why: a) the probability of an event that cannot occur is 0; b) the probability of an event that must occur is 1. \r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #153997 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Explain in your own words, using the definition of probability why: a) the probability of an event that cannot occur is 0; b) the probability of an event that must occur is 1.
\n" ); document.write( "------------------------------
\n" ); document.write( "Definition:
\n" ); document.write( "P(event) = (# of ways to succeed)/(# of ways to succeed + # of ways to fail)
\n" ); document.write( "------------------------------
\n" ); document.write( "a)the probability of an event that cannot occur is 0
\n" ); document.write( "If it cannot occur the # of ways to succeed is zero
\n" ); document.write( "Then P(event) = 0/(# of ways to fail) = 0
\n" ); document.write( "-------------------------------------------------
\n" ); document.write( "b) the probability of an event that must occur is 1.
\n" ); document.write( "If it must occur the # of ways to fail is zero
\n" ); document.write( "Then P(event) = (# of ways to succeed)/(# of ways to succeed) = 1
\n" ); document.write( "====================================================================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "
\n" );