document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=814121>Question 814121</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. Three cards are randomly selected from a standard 52 card deck without replacement. Find<BR>\n" );
document.write( "the probabilities of the following events:<BR>\n" );
document.write( "(a) (3 points) All cards are Aces.<BR>\n" );
document.write( "(b) (3 points) All cards are Diamonds.<BR>\n" );
document.write( "(c) (3 points) First is a King, the second is an Ace and the third one is another Ace.<BR>\n" );
document.write( "2. A number is selected randomly from the list f1; 2; 3; 4; 5; 6; 7; 8; 9; 10g. Consider the following<BR>\n" );
document.write( "events:<BR>\n" );
document.write( "A= The number selected is less or equal to 7. B= The number selected is more than 2.<BR>\n" );
document.write( "(a) (3 points) Compute P(A) and P(B).<BR>\n" );
document.write( "(b) (3 points) Explain the meaning in this situation of the event A \ B. Find P(A \ B).<BR>\n" );
document.write( "(c) (3 points) Explain the meaning in this situation of the event A [ B. Find P(A [ B).\r<BR>\n" );
document.write( "\n" );
document.write( "4. A baseball player hits the ball 40% of the times. What is the probability of getting:<BR>\n" );
document.write( "(a) (3 points) exactly four hits in 9 opportunities.<BR>\n" );
document.write( "(b) (3 points) at most four hits in 9 opportunities.<BR>\n" );
document.write( "(c) (5 points) If the random variable X represents the amount of hits in 9 opportunities, what<BR>\n" );
document.write( "kind of distribution of probability is represented in this experiment? what is the expected<BR>\n" );
document.write( "value  and standard deviation ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #490110 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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/cgi-bin/show-face.mpl?user=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=490110\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.<BR>\n" );
document.write( "a)<BR>\n" );
document.write( "4C3/52C3<BR>\n" );
document.write( "=4/22100<BR>\n" );
document.write( "=1/5525<BR>\n" );
document.write( ".<BR>\n" );
document.write( "b)<BR>\n" );
document.write( "13C3/52C3<BR>\n" );
document.write( "=286/22100<BR>\n" );
document.write( "=11/850<BR>\n" );
document.write( ".<BR>\n" );
document.write( "c)<BR>\n" );
document.write( "4/52 * 4/51 * 3/50<BR>\n" );
document.write( "=2/5525<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Ed </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );