A player is dealt 3 cards from a standard 52 card deck

Last updated: 10/24/2023

A player is dealt 3 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 How many ways can 3 cards be selected from a 52 card deck There are ways that 3cards can be selected from a 52 card deck Type a whole number b Each deck contains 4 twos 4 threes and so on How many ways can two of the same card be selected from the deck ways that two of the same card can be selected from the deck There are Type a whole number c The remaining card must be different from the 2 chosen 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 1 of them and then selects one of the 4 cards in the chosen rank How many ways can the player select the remaining card There are ways the player can select the remaining card Type a whole number d Use the General Multiplication Rule to compute the probability of obtaining two of a kind That is what is the probability of selecting two of a kind and one card that is different The probability of obtaining two of a kind from 3 cards dealt is Round to four decimal places as needed