Math Problem Statement

What is the possibility to get 20 bags in one multibag if the gram weight of each bag 12 gms -1 & +2

Solution

To clarify the question, you're asking about the possibility of getting 20 bags from a multibag pack where each individual bag weighs 12 grams, with variations between 11 and 13 grams (from -1 gm to +2 gm).

This can be interpreted as a situation involving random variations in the bag weight, but we need to narrow down how you want the probability calculated. Here's what I can infer:

  1. Weight Range: Each bag's weight is between 11 and 13 grams. So, the possible weight for each bag could be either:

    • 11 grams
    • 12 grams
    • 13 grams
  2. Total Weight Calculation: You want the total weight of 20 bags. Let's calculate the possible total weights based on the variations in individual bag weights.

For 20 bags:

  • The minimum weight would be if all the bags weighed 11 grams:
    20×11=220 grams20 \times 11 = 220 \text{ grams}

  • The maximum weight would be if all the bags weighed 13 grams:
    20×13=260 grams20 \times 13 = 260 \text{ grams}

  • The average weight would be if all the bags weighed 12 grams:
    20×12=240 grams20 \times 12 = 240 \text{ grams}

Possibility Calculation (Probability Distribution)

To calculate the exact probability of getting exactly 20 bags with some specific total weight, we would typically consider:

  • How many bags are likely to weigh 11, 12, or 13 grams.
  • The distribution and likelihood for each bag's weight.

This would involve calculating probabilities assuming a uniform distribution (equal likelihood for each of 11, 12, or 13 grams), or if you have more specific distribution information (e.g., a normal distribution), we could model that as well.

Would you like to dive deeper into a specific aspect (e.g., the distribution of bags) or want a more exact calculation based on assumptions?

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Math Problem Analysis

Mathematical Concepts

Probability
Statistics
Weight Calculation
Combinatorics

Formulas

Total Weight = Number of Bags × Weight per Bag

Theorems

Probability Distribution (Uniform Distribution)

Suitable Grade Level

Grades 8-10