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You reach you hand into the bag and choose a marble at random. Express the probabilities in percentage form. \( P( \) vowel \( )= \) \( P(B)= \) \( P( \) consonant \( )= \) \( P(W \) or \( R)= \) \( P(A \) or \( B)= \)

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

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

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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): \( P( \text{vowel} ) = \frac{5}{10} \times 100 = 50\% \) - The probability of selecting B: \( P(B) = \frac{1}{10} \times 100 = 10\% \) - The probability of selecting a consonant (C, D, F, G): \( P( \text{consonant} ) = \frac{4}{10} \times 100 = 40\% \) - The probability of selecting W or R: \( P(W \text{ or } R) = \frac{2}{10} \times 100 = 20\% \) - The probability of selecting A or B: \( P(A \text{ or } B) = \frac{2}{10} \times 100 = 20\% \) 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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