Fill Up The House

Probability Level 1

$4{\color{#D61F06}\heartsuit}, 4\clubsuit, 8\clubsuit, 8\spadesuit, \text{K}{\color{#D61F06}\diamondsuit}$

You are playing a game of poker , and you are dealt the above hand of cards from a shuffled standard poker deck.

You put the $\text{K}\color{#D61F06}{\diamondsuit }$ aside and ask to be dealt a new card from the same deck. What is the probability that the next card dealt to you is a 4 or an 8?

Round your answer to three decimal places.

Note : Cards that are dealt to you are no longer in the deck. The $\text{K}\color{#D61F06}{\diamondsuit }$ is put aside; it is not put back into the deck.

The answer is 0.085.

1 solution

Andy Hayes
Jul 5, 2016

Relevant wiki: Uniform Probability (by Outcomes)

There are 52 cards in a standard poker deck. With the 5 cards dealt to you, there are now 47 cards left in the deck. There are 2 $4$ s left in the deck and 2 $8$ s left in the deck.

Let $F$ be the event that a $4$ or an $8$ is drawn. By probability by outcomes ,

$P(F)=\frac{4}{47}\approx 0.085$

The probability that you are dealt a $4$ or an $8$ is approximately $\boxed{0.085}$ .

I have 2 cards so it's 4/45 not 47 and the answer I got was 0.088 and you can't play poker alone so there if it's 1v1 there is 43 cards left in the deck so its 0.093, the way your teaching like I don't have a hand and are playing alone is going to trip a lot of people up, am I missing something here?

Bradley Duffill - 10 months, 2 weeks ago

Fill Up The House

The answer is 0.085.

1 solution

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