A player is dealt 5 cards from a standard 52 card deck

Last updated: 10/27/2023

A player is dealt 5 cards from a standard 52 card deck Determine the probability of being dealt three of a kind such as three aces or three kings by answering questions a through d a How many ways can 5 cards be selected from a 52 card deck There are ways that 5cards 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 three of the same card be selected from the deck There are ways that three of the same card can be selected from the deck Type a whole number c The remaining 2 cards must be different from the 3 chosen and different from each other After selecting the three 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 How many ways can the player select the remaining 2 cards There are ways the player can select the remaining 2 cards Type a whole number d Use the General Multiplication Rule to compute the probability of obtaining three of a kind That is what is the probability of selecting three of a kind and two cards that are not alike The probability of obtaining three of a kind from 5 cards dealt is Round to four decimal places as needed