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You have four cards: Jack, Queen, King, and Ace. What is the probability of drawing a face card, not replacing it, and then choosing another face card?

Write in fraction form!

User Undreren
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1 Answer

2 votes

Explanation:

if I understand you correctly, then we have the 4 described cards. 3 of these 4 cards are face cards (Jack, Queen, King).

a probability is always desired cases over totally possible cases.

so, for the first pull we have a probability of

3/4 = 0.75

we have 4 total possibilities, and 3 of them are the desired outcome.

for the second pull we have then only 3 cards left (we did not replace the first pulled card). and because the first pulled card was in this scenario a face card, 2 out of these 3 cards are face cards.

so, the probability to pull a face card here is

2/3 = 0.66666...

when we combine these 2 events into one connected event (we are creating event 1 AND event 2), we multiply the probabilities, giving us

3/4 × 2/3 = 6/12 = 1/2 = 0.5

User Dparker
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