Questions: A bag contains seven tiles labeled A, B, C, D, E, F, and G. One tile will be randomly picked. What is the probability of picking a letter that is not a vowel? Write your answer as a fraction.

A bag contains seven tiles labeled A, B, C, D, E, F, and G. One tile will be randomly picked. What is the probability of picking a letter that is not a vowel? Write your answer as a fraction.
Transcript text: A bag contains seven tiles labeled $A, B, C, D, E, F$, and $G$. One tile will be randomly picked. What is the probability of picking a letter that is not a vowel? Write your answer as a fraction. $\square$
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Solution

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Solution Steps

To find the probability of picking a letter that is not a vowel, we first identify the vowels in the set of tiles. Then, we count the number of non-vowel tiles. The probability is the ratio of the number of non-vowel tiles to the total number of tiles.

Step 1: Identify the Tiles and Vowels

The bag contains the tiles labeled \( A, B, C, D, E, F, G \). The vowels among these tiles are \( A \) and \( E \).

Step 2: Count Non-Vowel Tiles

The total number of tiles is \( 7 \). The non-vowel tiles are \( B, C, D, F, G \), which gives us a count of \( 5 \) non-vowel tiles.

Step 3: Calculate the Probability

The probability \( P \) of picking a tile that is not a vowel is given by the ratio of the number of non-vowel tiles to the total number of tiles:

\[ P = \frac{\text{Number of non-vowel tiles}}{\text{Total number of tiles}} = \frac{5}{7} \]

Final Answer

The probability of picking a letter that is not a vowel is \\(\boxed{\frac{5}{7}}\\).

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