Questions: 6. Jacque has 25 pencils. There are 6 red, 8 orange, 4 blue, and 7 purple. If you randomly grab a single pencil, what are the odds of grabbing a red one?
[Answer]
Transcript text: 6. Jacque has 25 pencils. There are 6 red, 8 orange, 4 blue, and 7 purple. If you randomly grab a single pencil, what are the odds of grabbing a red one?
[Answer]
Solution
Solution Steps
To find the odds of grabbing a red pencil, we need to determine the probability of selecting a red pencil from the total number of pencils. The probability is calculated by dividing the number of red pencils by the total number of pencils.
Step 1: Determine the Total Number of Pencils
The total number of pencils is given as 25. This includes all the red, orange, blue, and purple pencils.
Step 2: Determine the Number of Red Pencils
The number of red pencils is given as 6.
Step 3: Calculate the Probability of Grabbing a Red Pencil
The probability of grabbing a red pencil is calculated by dividing the number of red pencils by the total number of pencils. This can be expressed as:
\[
P(\text{red}) = \frac{\text{Number of red pencils}}{\text{Total number of pencils}} = \frac{6}{25} = 0.24
\]
Final Answer
The probability of grabbing a red pencil is \(\boxed{0.24}\).