Three cards are dealt from a shuffled standard deck of playing cards. What is the probability that the three cards dealt are, in order, an ace, a face card, and a 10?
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
Three cards are dealt from a shuffled standard deck of playing cards.
What is the
GIVEN DATA : Three cards are dealt from a shuffled standard deck of cards.
TO FIND : Probability that the three cards are dealt are in order , an ace, a face card and a 10.
Total number of cards in the well shuffled standard deck of cards
Number of Ace in the card.
Probability of getting an ace card
Now, total number of cards is
Number of face cards
Probability of getting a face card
Number of cards left
Number of 10 cards
Probability of getting 10's card
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