Use the following experiment. A state lottery game consists of choosing one card from each of the four suits in a standard deck of playing cards. (There are 13 cards in each suit.)Count the number of ways in which four 2's can be chosen.
Question
Use the following experiment. A state lottery game consists of choosing one card from each of the four suits in a standard deck of playing cards. (There are 13 cards in each suit.)Count the number of ways in which four 2's can be chosen.
Solution
To count the number of ways in which four 2's can be chosen, you need to understand that there is only one 2 in each suit of a standard deck of cards.
Step 1: Identify the number of 2's in a deck of cards. In a standard deck, there are 4 suits (hearts, diamonds, clubs, spades), and each suit has one 2. So, there are 4 twos in a deck of cards.
Step 2: Determine the number of ways to choose a 2 from each suit. Since there is only one 2 in each suit, there is only one way to choose a 2 from each suit.
Step 3: Multiply the number of ways to choose a 2 from each suit. Since you are choosing one 2 from each of the 4 suits, and there is only one way to choose a 2 from each suit, the total number of ways to choose four 2's is 111*1 = 1.
So, there is only one way to choose four 2's from a standard deck of cards.
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