Math Problem Statement

Ficha de exercícios nº 11 - Probabilidades com Cálculo Combinatório.pdf

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Solution

It seems you've uploaded a PDF file. Let me take a look at it and help you with the contents. PyPDF2 import PdfReader

Load the uploaded PDF

pdf_path = '/mnt/data/17377512704165sa0aj99.pdf' pdf_reader = PdfReader(pdf_path)

Extract text from all pages

pdf_text = '' for page in pdf_reader.pages: pdf_text += page.extract_text()

Display the first 1000 characters of the extracted text to get an idea of its contents

pdf_text[:1000] The document seems to contain a few probability-related questions written in Portuguese. Here's an overview of the first few questions:

  1. Question 1: Involves the probability of selecting a set of 3 digits, where the digits range from 1 to 9. It asks for the probability that no digit is repeated in the set of numbers selected randomly. The result should be presented as a fraction in its simplest form.

  2. Question 2: Involves drawing balls from a bag containing 6 green balls and 3 orange balls, asking for the probability of:

    • a) Drawing all 3 green balls,
    • b) Drawing 3 balls of the same color, and
    • c) Drawing at least two green balls.
  3. Question 3: Involves a box containing 6 blue balls and 4 green balls. The task is to determine the probability of drawing 4 balls from the box, with the outcome of each draw being simultaneous.

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Math Problem Analysis

Mathematical Concepts

Probability
Combinatorics
Permutations
Combinations

Formulas

P(A) = (Number of favorable outcomes) / (Total number of possible outcomes)
Combination formula: C(n, r) = n! / (r!(n - r)!)
Permutation formula: P(n, r) = n! / (n - r)!

Theorems

Probability theory
Combination and permutation theorems

Suitable Grade Level

Grades 8-10