SOLUTION: In a standard deck of cards, what is the probability of drawing three 7’s without repetition? With solution, please.
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Question 1165006: In a standard deck of cards, what is the probability of drawing three 7’s without repetition? With solution, please. Found 2 solutions by math_helper, Alan3354:Answer by math_helper(2461) (Show Source):
I'll get you started. You should be able to complete this problem using the information provided below.
There are four 7's available for the first pick. There are also 52 cards from which to pick: P(first draw is a 7) = 4/52
Now on the 2nd draw, there are three 7's available. How many cards remain in the deck? 51, right. P(2nd draw is also a 7) = 3/51
Apply this logic for the 3rd 7, then compute the total probability by MULTIPLYING the three fractions, perhaps simplifying fractions where possible.