A player is dealt 4 cards from a standard 52-card deck. Determine the probability of being dealt two of a kind (such as two aces or two kings) by answering questions a through d. a) Determine how many ways 4 cards can be selected from a 52-card deck b) Each deck contains 4 twos, 4 threes, and so on. Determine how many ways two of the same card can be selected from the deck. c) The remaining 2 cards must be different from the 2 chosen and different from each other. After selecting the two of a kind, there are 12 different ranks of cards remaining in the deck that can be chosen. Of the 12 ranks remaining, the player chooses 2 of them and then selects one of the 4 cards in each of the two chosen ranks. Find how many ways the player can select the remaining 2 cards. d) Use the General Multiplication Rule to compute the probability of obtaining two of a kind. That is, find the probability of selecting two of a kind and two cards that are not like. Can you break down the steps and what numbers you are multiplying? I would greatly appreciate it. Thank you in advance.
A player is dealt 4 cards from a standard 52-card deck. Determine the probability of being dealt two of a kind (such as two aces or two kings) by answering questions a through d.
a) Determine how many ways 4 cards can be selected from a 52-card deck
b) Each deck contains 4 twos, 4 threes, and so on. Determine how many ways two of the same card can be selected from the deck.
c) The remaining 2 cards must be different from the 2 chosen and different from each other. After selecting the two of a kind, there are 12 different ranks of cards remaining in the deck that can be chosen. Of the 12 ranks remaining, the player chooses 2 of them and then selects one of the 4 cards in each of the two chosen ranks. Find how many ways the player can select the remaining 2 cards.
d) Use the General Multiplication Rule to compute the probability of obtaining two of a kind. That is, find the probability of selecting two of a kind and two cards that are not like.
Can you break down the steps and what numbers you are multiplying? I would greatly appreciate it. Thank you in advance.
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