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You randomly draw twice from this deck of cards(9) (6) (5) (5) (7) (7) (2)What is the probability of drawing a 7, then drawing a 2, replacing the first card? Write as fraction.

You randomly draw twice from this deck of cards(9) (6) (5) (5) (7) (7) (2)What is-example-1
User Joe Koberg
by
2.6k points

1 Answer

12 votes
12 votes

Given:

Total number of cards : 7 cards

No. of 7 cards = 2

No. of 2 cards = 1


\text{ Probability = Probability of getting 7 x Probability of getting 2}
\text{ = }\frac{\text{ 2}}{\text{ 7}}\text{ x }\frac{\text{ 1}}{\text{ 7}}\text{ = }\frac{\text{ 2}}{\text{ 49}}

Therefore, the probability of drawing 7, then drawing 2 is 2/49.

The answer is 2/49.

User Xavier Lucas
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3.4k points
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