document.write( "Question 1210426: Amber rolls a 6-sided die. On her first roll, she gets a \"4\". She rolls again.
\n" ); document.write( "(a) What is the probability that the second roll is also a \"4\".
\n" ); document.write( "P(4 | 4) =
\n" ); document.write( "(b) What is the probability that the second roll is a \"2\".
\n" ); document.write( "P(2 / 4) = \n" ); document.write( "

Algebra.Com's Answer #852503 by ikleyn(52968) $\"\"$ $\"About$

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.
\n" ); document.write( "Amber rolls a 6-sided die. On her first roll, she gets a \"4\". She rolls again.
\n" ); document.write( "(a) What is the probability that the second roll is also a \"4\".
\n" ); document.write( "P(4 | 4) =
\n" ); document.write( "(b) What is the probability that the second roll is a \"2\".
\n" ); document.write( "P(2 / 4) =
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
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\n" ); document.write( "\n" ); document.write( "For both your questions, (a) and (b), the outcomes of the second roll are independent from outcomes of the first roll.\r
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document.write( "THEREFORE,  \r\n" );
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document.write( "    in question  (a)   P(4 | 4) = 1/6,  the same as  P(4)  in the first roll and/or  P(4) in the second roll.\r\n" );
document.write( "\r\n" );
document.write( "         To write here P(4 | 4)  is somehow awkward, if you don't want to deceive yourself and people around, \r\n" );
document.write( "         because the outcomes of the first roll and of the second roll are independent\r\n" );
document.write( "         and this independence is obvious and is well known to all, to anyone and to everybody.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    in question (b)  P(2 | 4) = 1/6,  the same as  P(2)  in the first roll and/or  P(2) in the second roll.\r\n" );
document.write( "\r\n" );
document.write( "         To write here P(2 | 4)  is somehow awkward, if you don't want to deceive yourself and people around, \r\n" );
document.write( "         because the outcomes of the first roll and the second roll are independent\r\n" );
document.write( "         and this independence is obvious and is well known to all, to anyone and to everybody.\r\n" );
document.write( "

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