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Lindsey has a stack of collectible cards based on her favorite comic-book series, The Defenders of Valley View. She randomly selects 1515 cards and gets 11 Miss Smash, 33 Professor Bookerton, 77 Mr. Meld, and 44 Wizard Walter cards.\newline Based on the data, what is the probability that the next card Lindsey selects will be a Mr. Meld card?\newline Write your answer as a fraction or whole number.

Full solution

Q. Lindsey has a stack of collectible cards based on her favorite comic-book series, The Defenders of Valley View. She randomly selects 1515 cards and gets 11 Miss Smash, 33 Professor Bookerton, 77 Mr. Meld, and 44 Wizard Walter cards.\newline Based on the data, what is the probability that the next card Lindsey selects will be a Mr. Meld card?\newline Write your answer as a fraction or whole number.
  1. Calculate Total Cards: First, let's figure out how many cards Lindsey has in total. She picked 1515 cards, so the total number of cards she has is 1515.
  2. Find Mr. Meld Cards: Next, we need to find out how many of those cards are Mr. Meld cards. She got 77 Mr. Meld cards.
  3. Calculate Probability: Now, we calculate the probability that the next card she picks will be a Mr. Meld card. The probability is the number of Mr. Meld cards divided by the total number of cards, which is 715\frac{7}{15}.

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