Question
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You reach you hand into the bag and choose a marble at
random. Express the probabilities in percentage form.
vowel

consonant
or
or

Ask by Stewart Schofield. in the United States
Jan 22,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

Cannot determine the probabilities without knowing the contents of the bag.

Solution

To determine the probabilities of selecting specific types of marbles (vowels, consonants, specific letters) from the bag, we need to know the exact contents of the bag. Specifically, we need:
  1. Total Number of Marbles: This determines the denominator for all probability calculations.
  2. Composition of Marbles: A list of all marbles in the bag, including which are vowels, consonants, and any specific letters like B, W, or R.

Example Scenario

Let’s assume the bag contains the following 10 marbles labeled with letters:
  • Vowels: A, E, I
  • Consonants: B, C, D, F, G, H, W, R
Given this composition:
  1. Total Marbles: 10
  2. Vowels: 3 (A, E, I)
  3. Consonants: 7 (B, C, D, F, G, H, W, R)
  4. Specific Letters:
    • B: 1
    • W or R: 2 (W and R)
    • A or B: 2 (A and B)

Calculating Probabilities

Convert the probabilities to percentages using the formula:
  1. Probability of selecting a vowel ( ):
  2. Probability of selecting B ( ):
  3. Probability of selecting a consonant ( ):
  4. Probability of selecting W or R ( ):
  5. Probability of selecting A or B ( ):

Summary of Probabilities


Please Note: The above calculations are based on an assumed composition of the bag. To provide accurate probabilities tailored to your specific situation, please provide the exact list of marbles in the bag.

Answered by UpStudy AI and reviewed by a Professional Tutor

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The Deep Dive

To express the probabilities in percentage form, you first need to know the total number of marbles and how many belong to each category. Assuming the bag contains 10 marbles with the letters A, B, E, I, O, U (vowels), C, D, F, G (consonants), and W (white) and R (red) marbles, here are the probabilities:
  • The probability of selecting a vowel (A, E, I, O, U):
  • The probability of selecting B:
  • The probability of selecting a consonant (C, D, F, G):
  • The probability of selecting W or R:
  • The probability of selecting A or B:
Now you have a fun breakdown of the probabilities! Just remember to always double-check your total counts and categories when doing similar problems. Happy marble drawing!

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