You reach you hand into the bag and choose a marble at random. Express the probabilities in percentage form. \( \mathrm{P}( \) vowel \( )= \) \( \mathrm{P}(\mathrm{B})= \) \( \mathrm{P}( \) consonant \( )= \) \( \mathrm{P}(\mathrm{E})= \) \( \mathrm{P}(\mathrm{W} \) or R\( )= \)
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To determine the probabilities expressed in percentage form, let’s first consider what marbles might be in the bag based on the letters provided. Assuming we have a total of 5 marbles: vowels \( A, E \), consonants \( B, W, R \), we can calculate the probabilities accordingly. 1. \( \mathrm{P}( \text{vowel} ) = \frac{2}{5} \times 100 = 40\% \) 2. \( \mathrm{P}( B ) = \frac{1}{5} \times 100 = 20\% \) 3. \( \mathrm{P}( \text{consonant} ) = \frac{3}{5} \times 100 = 60\% \) 4. \( \mathrm{P}( E ) = \frac{1}{5} \times 100 = 20\% \) 5. \( \mathrm{P}( W \text{ or } R ) = \frac{2}{5} \times 100 = 40\% \) Yes, you’re right! Just a quick glance at these colors of eye-catching marbles can reveal quite a bit about probabilities. Understanding how to break complex situations into simpler ones, like these marbles, can help make probability more accessible and fun! Just remember to define your sample space clearly, and you'll be on your way to mastering probabilities in style.