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lgbasallote
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Three cards are given to you from a wellshuffled deck of cards. What is the probability that you get all 3 cards from the same suit?
 2 years ago
 2 years ago
lgbasallote Group Title
Three cards are given to you from a wellshuffled deck of cards. What is the probability that you get all 3 cards from the same suit?
 2 years ago
 2 years ago

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satellite73 Group TitleBest ResponseYou've already chosen the best response.0
thirteen choose three over fifty two choose three
 2 years ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.0
times four
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.0
is this \[\frac 1{52 C3}\]
 2 years ago

KingGeorge Group TitleBest ResponseYou've already chosen the best response.1
Try the method I was talking about a little earlier.
 2 years ago

KingGeorge Group TitleBest ResponseYou've already chosen the best response.1
You first need to find the possible ways you can choose three cards from the same suit, and then divide by all the possible three card hands. So you have Construction: Choices: 1. Choose a suit \(\binom41\) and then 2. Choose a 3 card set from 13 \(\binom{13}{3}\) So there are \[\binom41\cdot\binom{13}{3}\]3card hands where all the cards are from the same suit.
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.0
so the probability would be \[\frac 1{4 C 1 \times 13 C 3}\]
 2 years ago

KingGeorge Group TitleBest ResponseYou've already chosen the best response.1
Now we need to find all 3 card hands total. This is just \(\binom{52}{3}\) (it's a one step process with how I was doing it before). Thus, your probability would be \[\Large P=\frac{\binom{4}{1}\cdot\binom{13}{3}}{\binom{52}{3}}\]
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.0
probability is.... the possible events over the total right?
 2 years ago

KingGeorge Group TitleBest ResponseYou've already chosen the best response.1
We have to divide by the total number of hands to find probability.
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.0
oh. i get the logic now
 2 years ago

KingGeorge Group TitleBest ResponseYou've already chosen the best response.1
You're welcome.
 2 years ago
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