document.write( "Question 1068589: Indepent Events
\n" ); document.write( "I'm having a hard time understanding this please can someone explain in detail.\r
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\n" ); document.write( "\n" ); document.write( "A bag contains 8 apples, 5 are eating apples and 3 are cooking apples. If 2 apples are drawn without replacement.Find the probability that \r
\n" ); document.write( "\n" ); document.write( "A) the first apple is an eating apple and the second apple is a cooking apple
\n" ); document.write( "B)one of the apples are an eating apple
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Algebra.Com's Answer #683854 by KMST(5328)\"\" \"About 
You can put this solution on YOUR website!
The drawing of the first apple changes the ratio of the two types of apples.
\n" ); document.write( "That ratio is not the same for the picking of the second apple.
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\n" ); document.write( "A) For the first pick the probability of getting an eating apple is
\n" ); document.write( "\"5%2F%285%2B3%29=5%2F8\" .
\n" ); document.write( "That means that if you did it a million times \"5%2F8\" of the first apple picks would be eating apples.
\n" ); document.write( "For the second pick there is a total of \"8-1=7\" apples,
\n" ); document.write( "and if the first pick was an eating apple,
\n" ); document.write( "there are still \"3\" cooking apples in the bag,
\n" ); document.write( "so your chance of picking a cooking apple after having picked an eating apple is
\n" ); document.write( "\"3%2F7\" .
\n" ); document.write( "All in all, if you did the experiment a million times,
\n" ); document.write( "\"5%2F8\" of those times your first pick would be an eating apple,
\n" ); document.write( "and of those times
\n" ); document.write( "\"3%2F7\" of the time your second pick would be a cooking apple,
\n" ); document.write( "so that sequence of events would happen \"%285%2F8%29%2A%283%2F7%29=highlight%2815%2F56%29\" of the times.
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\n" ); document.write( "B) The wording you posted is suspicious.
\n" ); document.write( "I wonder if you may have been trying to type that neither one of the apples picked is an eating apple.\r
\n" ); document.write( "\n" ); document.write( "There is a \"15%2F56\" probability that a cooking apple is picked after an eating apple is picked.
\n" ); document.write( "There is a \"%283%2F8%29%2A%285%2F7%29=15%2F56\" probability that a cooking apple is picked before an eating apple is picked.
\n" ); document.write( "There is a \"%283%2F8%29%282%2F7%29=6%2F56\" probability that first pick and the second pick are both cooking apples.
\n" ); document.write( "There is a \"%285%2F8%29%284%2F7%29=20%2F56\" probability that first pick and the second pick are both eating apples.
\n" ); document.write( "What are we asked for?
\n" ); document.write( "The probability that none of the two apples is an eating apple? That is \"6%2F56\" .
\n" ); document.write( "The probability that exactly one of the apples picked is an eating apple? That is \"15%2F56%2B15%2F56=30%2F56\" .
\n" ); document.write( "The probability that at least one of the two apples picked is an eating apple (and maybe both are)>? That is \"1-6%2F56=50%2F56\" .
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