SOLUTION: A board game is played with wooden pieces, where each piece shows a number on one side. There are 42 pieces altogether, and each piece shows a number from 1 to 42-each number from

Algebra ->  Probability-and-statistics -> SOLUTION: A board game is played with wooden pieces, where each piece shows a number on one side. There are 42 pieces altogether, and each piece shows a number from 1 to 42-each number from      Log On


   



Question 188328: A board game is played with wooden pieces, where each piece shows a number on one side. There are 42 pieces altogether, and each piece shows a number from 1 to 42-each number from 1 to 42 is on exactly one piece- . To begin the game you randomly select 5 pieces.
What is the probability that all the pieces you select are white- answer must be accurate to 4 decimal places.
thanks

Found 2 solutions by stanbon, solver91311:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
You did not post how many white pieces there are among
the 42.
Cheers,
Stan H..

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let p = the probability that all the pieces are white. Since your problem statement makes absolutely no mention of the colors of the pieces or the distribution of colors on the pieces, it is equally likely that all of the pieces are white as it is that none of the pieces are white as it is that any other number of pieces are white between those two limits. Therefore, all that can be said is that:



Where:



being the number of white pieces.

John