Results 1 to 2 of 2

Math Help - Probability

  1. #1
    Member
    Joined
    Dec 2006
    Posts
    79

    Probability

    Poker dice is played by simultaneously rolling 5 dice.

    a) Describe the sample space S; how many points are there?

    6^5=7776 Is this correct?

    b) Show that P(no two dice show the same number) = .0926

    I know I need to use 1-P(A) and P(A) is the prob that two dice show the same number.

    How do I find P(A)?

    Thanks
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member

    Joined
    May 2006
    From
    Lexington, MA (USA)
    Posts
    11,685
    Thanks
    616
    Hello, taypez!

    Poker dice is played by simultaneously rolling 5 dice.

    a) Describe the sample space S; how many points are there?

    . . 6^5\:=\:7776 . Is this correct? . . . . . Yes!

    b) Show that: . P(\text{no two dice show the same number}) \:= \:0.0926

    I know I need to use 1 - P(A) . . . . . no
    We can solve this head-on . . .

    \begin{array}{cc}\text{The first die can have any number:} &\frac{6}{6}\\<br />
\text{The 2nd die must not have the first number:} & \quad\frac{5}{6} \\<br />
\text{The 3rd die must not have the first two numbers:} & \qquad\frac{4}{6} \\<br />
\text{The 4th die must not have the first three numbers:} & \qquad\quad\frac{3}{6} \end{array}
    \begin{array}{cc}\text{The 5th die must not have the first four numbers:} & \qquad\qquad\frac{2}{6} \end{array}

    Therefore: . P(\text{no two dice show the same number}) \;=\;\frac{6!}{6^5} \;=\;0.0\overline{925}

    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 10
    Last Post: January 21st 2011, 11:47 AM
  2. Replies: 0
    Last Post: December 6th 2010, 04:57 PM
  3. Replies: 3
    Last Post: May 29th 2010, 07:29 AM
  4. Replies: 1
    Last Post: February 18th 2010, 01:54 AM
  5. Replies: 3
    Last Post: December 15th 2009, 06:30 AM

Search Tags


/mathhelpforum @mathhelpforum