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The winter clothing drive has received donations of 5 coats, 23 pairs of gloves, 19 scarves, and 3 hats so far. Based on this data, what is a reasonable estimate of the probability that the next donation is not a pair of gloves? Choose 1 answer: (A) 0.23 (B) 0.27 (C) 0.46 (D) 0.54

The winter clothing drive has received donations of 55 coats, 2323 pairs of gloves, 1919 scarves, and 33 hats so far.\newlineBased on this data, what is a reasonable estimate of the probability that the next donation is not a pair of gloves?\newlineChoose 11 answer:\newline(A) 00.2323\newline(B) 00.2727\newline(C) 00.4646\newline(D) 00.5454

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Full solution

Q. The winter clothing drive has received donations of 55 coats, 2323 pairs of gloves, 1919 scarves, and 33 hats so far.\newlineBased on this data, what is a reasonable estimate of the probability that the next donation is not a pair of gloves?\newlineChoose 11 answer:\newline(A) 00.2323\newline(B) 00.2727\newline(C) 00.4646\newline(D) 00.5454
  1. Calculate total donations: First, we need to calculate the total number of donations received so far.\newlineTotal donations =number of coats+number of pairs of gloves+number of scarves+number of hats= \text{number of coats} + \text{number of pairs of gloves} + \text{number of scarves} + \text{number of hats}\newlineTotal donations =5+23+19+3= 5 + 23 + 19 + 3
  2. Perform total donations calculation: Now, we perform the calculation for the total number of donations. Total donations = 5+23+19+3=505 + 23 + 19 + 3 = 50
  3. Find donations not gloves: Next, we need to find the number of donations that are not pairs of gloves.\newlineDonations not gloves = total donations - number of pairs of gloves\newlineDonations not gloves = 50−2350 - 23
  4. Calculate not gloves donations: We calculate the number of donations that are not pairs of gloves.\newlineDonations not gloves = 50−23=2750 - 23 = 27
  5. Calculate probability: Now, we calculate the probability that the next donation is not a pair of gloves.\newlineProbability (not gloves) = donations not glovestotal donations\frac{\text{donations not gloves}}{\text{total donations}}\newlineProbability (not gloves) = 2750\frac{27}{50}
  6. Simplify probability: Finally, we simplify the fraction to get the probability as a decimal.\newlineProbability (not gloves) = 2750=0.54\frac{27}{50} = 0.54

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