document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1206756>Question 1206756</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that you are performing the probability experiment of rolling one fair six-sided die. Let F be the event of rolling a four or a five. You are interested in how many times you need to roll the die in order to obtain the first four or five as the outcome.<BR>\n" );
document.write( "• p = probability of success (event F occurs)<BR>\n" );
document.write( "• q = probability of failure (event F does not occur)<BR>\n" );
document.write( "Find the values of p and q. (Enter exact numbers as integers, fractions, or decimals.)<BR>\n" );
document.write( "Find the probability that the first occurrence of event F (rolling a four or five) is on the second trial. (Round your answer to four decimal places.) </SPAN>\n" );
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document.write( "P(4 or 5) = 4/6 = 2/3<br><BR>\n" );
document.write( "P(other) = 1-2/3 = 1/3<br><BR>\n" );
document.write( "P(first 4 or 5 on 2nd throw) = P((other on 1st throw) AND (4 or 5 on 2nd throw)) = (2/3)*(1/3) = 2/9<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );