Math Games Using Playing Cards
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Question: This is a hard math question?
"Euchre is a popular card game played with a partial deck of ordinary cards. Only 24 cards are used: the 9, 10, Jack, Queen, King, and Ace of each suit (hearts, spades, diamonds, and clubs). Consider the experiment of drawing cards from a Euchre deck until a club is drawn. After each draw the card is replaced and the deck is shuffled." Then it asks "complete the table below for a theoretical probability distribution for the number of draws to get a club. The first column in the table reads "number of draws to get first club" and the values are 1, 2, 3, 4, 5, 6 or more i'm supposed to find the probability for each value.
Answer: For every draw, there are 6 clubs out of 24 so the prob of drawing a club is 1/4.
And since you put back the card you drew, it remains 1/4.
P(first draw) = 1/4
P(second draw) = (3/4)*(1/4) (it's a 3/4 prob you didn't draw a club the first time)
P(third draw) = (3/4)^2*(1/4) (it's a (3/4)^2 prob you didn't draw a club the first and 2nd times)
In general, P(on draw n) = (3/4)^(n-1)*(1/4)
Math Fluency pt.2: Math Games
Four Square Rules
Below are the rules for the Four Square Game. The Four Square Game is great for children.
How to play the Four Square Game - the rules
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Choose who gets which square.
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Square 4 serves the ball by bouncing it once in his or her square and then hitting it toward one of the other squares using only one hand.
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The receiving player lets the ball bounce once and then hit to another square.
The rules of how to score in Four Square Game
The player is out if he or she:
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hits the ball before it bounces once in his or her square
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lets the ball bounce twice in his or her square
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hits the ball out of the boundary of the squares
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uses two hands or feet to hit the ball. You can only use one hand.
The rules on missing a ball
If a Four Square Game player misses the ball, the he or she moves to the lowest ranking square and the other players move up. If there are more than four players playing the Four Square Game, then form a line in order.

How to win the Four Square Game?
To win the Four Square Game, you must stay in the Square marked 4 (the King) the longest.


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