Suppose we​ select, without​ looking, one marble from a bag containing 6 red marbles and 11 green marbles. What is the probability of selecting each of the​ following?

Question

​a) A red marble
​b) A green marble
​c) A purple marble
​d) A red or a green marble
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Part 1
​a) What is the probability of picking a red​ marble?
  
enter your response here ​(Type an integer or a simplified​ fraction.)

Answer 1

To determine the probability of selecting a red marble from the bag, we first need to know the total number of marbles and the number of red marbles.

1. Number of red marbles: 6
2. Number of green marbles: 11
3. Total number of marbles: \( 6 + 11 = 17 \)

Now, we can calculate the probability of selecting a red marble:

\[ \text{Probability of selecting a red marble} = \frac{\text{Number of red marbles}}{\text{Total number of marbles}} = \frac{6}{17} \]

So, the answer for part a) is:

\[ \frac{6}{17} \]