Lucy has a deck of 52 cards with four suits heart spades diamonds in clubs, and each suit has a card numbered one through 13 what is the theory typical probability of her picking four form of deck of cards the answer should be a fraction remember to simplify
The total number of ways Lucy can choose 4 cards from a deck of 52 cards is given by the combination formula:
Combinations = 52 C 4 = 52! / (4! * (52-4)!) = 270,725
Now, we need to calculate the number of ways she can choose 4 cards of the same suit. Since there are 4 suits, we need to calculate this for each suit and then add them together.
For each suit, the number of ways she can choose 4 cards of that suit is given by:
Combinations of choosing 4 cards of the same suit = 13 C 4 = 715
Since there are 4 suits, the total number of ways she can choose 4 cards of the same suit is:
Total number of ways = 4 * 715 = 2860
Therefore, the theoretical probability of Lucy picking 4 cards of the same suit from the deck of cards is:
2860 / 270,725 = 286 / 27,073 = 286 / 27073
This fraction cannot be simplified further.