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You are dealt one card from a standard 52 -card deck. Find the probability of being dealt
a spade and a club. 0 of 1
The probability of being dealt a spade and a club is .
(Type an integer or a simplified fraction.)

Ask by Mejia Hilton. in the United States
Mar 31,2025

Solución de inteligencia artificial de Upstudy

Respuesta verificada por el tutor

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The probability is 0.

Solución

Step 1: Understand the Event
A single card cannot be both a spade and a club at the same time.
Step 2: Realize the Event is Impossible
Since no card in a standard 52-card deck can belong to two different suits simultaneously, the event of being dealt a card that is both a spade and a club is impossible.
Step 3: Write the Probability
The probability of an impossible event is .
Thus, the probability is .

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Extra Insights

If you are dealt one card from a standard 52-card deck, there are 13 spades and 13 clubs. However, since you can only receive one card at a time, it’s impossible to be dealt both a spade and a club. Hence, the probability of being dealt a spade and a club is .
Just like in life, sometimes we want two things but can only have one at a time! Isn’t probability fascinating? It’s all about understanding the possible outcomes and their likelihoods. Understanding it can truly give you an edge in card games and even in life choices!

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