document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=71536>Question 71536</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.	A coin is tossed thrice.  What is the probability that at least 2 heads occur?<BR>\n" );
document.write( "2.	A pair of dice is rolled.  What is the probability that the sum is equal to:<BR>\n" );
document.write( "a.	5<BR>\n" );
document.write( "b.	10<BR>\n" );
document.write( "3.	If a card is drawn at random from an ordinary deck of 52 cards, find the probability that it is:<BR>\n" );
document.write( "a.	Diamond<BR>\n" );
document.write( "b.	A red card<BR>\n" );
document.write( "c.	A heart or a spade<BR>\n" );
document.write( "d.	Not an ace<BR>\n" );
document.write( "e.	A black card or a king<BR>\n" );
document.write( "4.	The letters of the word HONESTY are written in slips of paper, and are placed in a box.  A slip of paper is chosen at random.  What is the probability that:<BR>\n" );
document.write( "a.	The letter is a vowel<BR>\n" );
document.write( "b.	The letter is a consonant<BR>\n" );
document.write( "c.	The letter is H<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #51181 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=51181\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. A coin is tossed thrice. What is the probability that at least 2 heads occur?<BR>\n" );
document.write( "Since it's heads or tails, it's binomial.<BR>\n" );
document.write( "P(at least 2 heads) = P(2 heads)+P(3 heads) = [3C2(1/2)2(1/2)=3(1/8)=3/8] + <BR>\n" );
document.write( "[3C3(1/2)3(1/2)^0] = 1*1/8*1= 1/8 = 4/8= 1/2<BR>\n" );
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document.write( "2. A pair of dice is rolled. What is the probability that the sum is equal to:<BR>\n" );
document.write( "a. 5<BR>\n" );
document.write( "The sample space has (1,4),(2,3),(3,2),(4,1) <BR>\n" );
document.write( "P(5)= 4/36 = 1/9<BR>\n" );
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document.write( "b. 10<BR>\n" );
document.write( "The sample space has (4,6),(5,5),(6,4)<BR>\n" );
document.write( "P(10)=3/36 = 1/12<BR>\n" );
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document.write( "3. If a card is drawn at random from an ordinary deck of 52 cards, find the probability that it is:<BR>\n" );
document.write( "a. Diamond: 13/52 = 1/4<BR>\n" );
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document.write( "b. A red card: 26/52 = 1/2<BR>\n" );
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document.write( "c. A heart or a spade: 13/52 + 13/52 = 26/52 = 1/2<BR>\n" );
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document.write( "d. Not an ace; 1-P(ace) = 1 - 4/52 = 48/52<BR>\n" );
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document.write( "e. A black card or a king: P(black)+P(king)-P(black and king)<BR>\n" );
document.write( "=26/52 + 4/52 -2/52 = 28/52<BR>\n" );
document.write( "---------------\r<BR>\n" );
document.write( "\n" );
document.write( "4. The letters of the word HONESTY are written in slips of paper, and are placed in a box. A slip of paper is chosen at random. What is the probability that:<BR>\n" );
document.write( "a. The letter is a vowel: 2/7<BR>\n" );
document.write( "b. The letter is a consonant: 5/7<BR>\n" );
document.write( "c. The letter is H: 1/7<BR>\n" );
document.write( "==========================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );