document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=767673>Question 767673</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A jar contains 10 cookies: 5 chocolate chip, 2 oatmeal, and 3 peanut butter<BR>\n" );
document.write( "Two cookies are taken out and eaten.<BR>\n" );
document.write( "-What is the probability that they are both chocolate chip?<BR>\n" );
document.write( "-What is the probability that one is peanut butter and the other is oatmeal?<BR>\n" );
document.write( "-What is the probability that the first is peanut butter and the second is chocolate chip?<BR>\n" );
document.write( "-What is the probability that the second is chocolate chip<BR>\n" );
document.write( "given that the first is oatmeal?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #467784 by </B><A HREF=/tutors/aboutme.mpl?userid=fcabanski><B>fcabanski(1391)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fcabanski><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=467784\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Probability of two events is P(A) * P(B).  These are dependent events, because the situation changes after you pull the first cookie. P is desired/total#<P><BR>\n" );
document.write( "-What is the probability that they are both chocolate chip?:  The probability the first is choc. chip is 5/10.  After removing one choc. chip, the probability the second is choc. chip is 4/9.  The probability both are choc. chip is 5/10 * 4/9 = 2/9<P><BR>\n" );
document.write( "-What is the probability that one is peanut butter and the other is oatmeal?  P(1st PB) is 3/10.  P(second oat after taking away 1 PB) is 2/9.  The probability is 3/10 * 2/9 = 1/15<P><BR>\n" );
document.write( "-What is the probability that the first is peanut butter and the second is chocolate chip?  P(PB) is 3/10.  P(2nd choc. chip after 1 PB is removed) is 5/9.  The probability is 3/10 * 5/9 = 1/6.<BR>\n" );
document.write( "-What is the probability that the second is chocolate chip<BR>\n" );
document.write( "given that the first is oatmeal? P(oatmeal) is 2/10.  P(2nd is choc. chip after removing 1 oatmeal) is 5/9.  Probability is 2/10 * 5/9 = 1/9<BR>\n" );
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