Math Games Dice Cards
June 9th, 2010 | 
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US $.99
Question: Math Probability - Dice and Cards?
The Aces and Kings are removed from a standard deck of playing cards and then the following little game is played. Pick a card from the well-shuffled, reduced deck and then roll a pair of dice.
Find the probability that:
a) the face value of the selected card matches that of the sum obtained on the dice (assume that Jacks and Queens have values of 11 and 12 respectively.)
b) the card value is 10 or the dice value is 10. Are the events here mutually excluive? Independent? Briefly Ex
Answer: a) You can do a long calculation adding up probabilities of both 2, both 3 etc but this is not necessary. Whatever the dice total comes to there will be a 1/11 probability that the card matches it.
b) Card value 10 and dice value 10 are not mutually exclusive because they can both occur at the same trial. They are independent because the outcome of one does not affect the probability of the other.
Dice Trick Solution
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