MIME-Version: 1.0 Content-Type: multipart/related; boundary="----=_NextPart_01C785BA.388A2FA0" This document is a Single File Web Page, also known as a Web Archive file. If you are seeing this message, your browser or editor doesn't support Web Archive files. Please download a browser that supports Web Archive, such as Microsoft Internet Explorer. ------=_NextPart_01C785BA.388A2FA0 Content-Location: file:///C:/753AC874/2007prob4.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Problem 4

Problem 4

 

Fro= m a regular deck of cards, we randomly selected two. Find the probability P that the first card is not an A and the second card is not a K.

<= o:p> 

[Problem submitted= by Dr. Kian Kaviani, LACC Profes= sor of Mathematics.]

 

 

Solution A for Pr= oblem 4:

 

P(1st is not A and 2nd is not K) = =3D P(1st is K and 2nd = is not K)

            &= nbsp;           &nbs= p;            &= nbsp;            + P(1st is neither K nor A and the 2nd is not K)

 

    =             &nb= sp;            =             &nb= sp;        =3D

 

Solution B for Pr= oblem 4:

 

P(1st is A or 2nd is K) =3D P(1st is A) + P(2nd is K) - P(1st is A and 2nd is K)

    =             &nb= sp;            =        =3D

    =             &nb= sp;            =       

P(1st is not A and 2nd is not K) = =3D 1 - P(1st is A or 2nd is K)

    =             &nb= sp;            =             &nb= sp;        =3D 1 -

    =             &nb= sp;            =             &nb= sp;       

 

Thi= s method can be used to find the probability that the first card is not A, the 2nd is not K, the 3rd is not Q, the 4th is not J, and so = on.

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