document.write( "Question 70945: a die is rolled. the sample space of equally likely outcomes is {1,2,3,4,5,6} find the probability of getting a 6. Thanks =) \n" ); document.write( "

Algebra.Com's Answer #50741 by bucky(2189) $\"\"$ $\"About$

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The sample space tells you that there are 6 equally likely outcomes possible. Of those
\n" ); document.write( "6 outcomes, you are looking for only one of them ... the 6. So you have 1 chance in 6 of
\n" ); document.write( "getting a 6. Therefore, the probability of getting a 6 is 1 in 6, or $\"1%2F6\"$ , or 0.166666...,
\n" ); document.write( "or by converting the decimal form to percent you have a 16.6666... percent probability
\n" ); document.write( "of getting an outcome of 6 on each roll of the die.
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\n" ); document.write( "Another way of thinking about it is that with equally likely outcomes, if you roll a die
\n" ); document.write( "six times you would expect that on one of those rolls you would get a 1, on another
\n" ); document.write( "roll you would get a 2, on another roll you would get a 3, on another roll you would
\n" ); document.write( "get a 4, on another roll you would get a 5, and on another roll you would get a 6. (Note
\n" ); document.write( "that the numbers do not necessarily appear in order. You might get a 5 on the first roll,
\n" ); document.write( "a 1 on the second roll and so on, but after 6 rolls you should have received each number
\n" ); document.write( "one time.) Therefore, in the 6 rolls you have 1 successful outcome of the number 6. Getting
\n" ); document.write( "one 6 as an outcome in 6 rolls is transferred to probability by dividing the number of
\n" ); document.write( "trials (6 rolls) into the number of successful outcomes (you got a 6 one time) which again
\n" ); document.write( "is 1 divided by 6 for the probability.
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\n" ); document.write( "In real life things don't work that way, of course. But in a very large number
\n" ); document.write( "of rolls you could reasonably expect that on $\"1%2F6\"$ of them you would get a 1, on
\n" ); document.write( "another $\"1%2F6\"$ of the rolls you would get a 2, and so on.
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\n" ); document.write( "Hopefully this makes a little sense to you. \n" ); document.write( "

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