Miss K has a bag of marbles. The bag contains 3 yellow marbles, 5 re blue marbles. Miss K reaches into her bag and randomly pulls out the How can Miss K get 2 red marble?
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
![**Title: Probability and Combinatorics Problem**
**Description:**
Miss K has a bag of marbles. The bag contains 3 yellow marbles, 5 red marbles, and 6 blue marbles. Miss K reaches into her bag and randomly pulls out three marbles.
**Problem:**
a) How many ways can Miss K get 2 red marbles?
**Solution Explanation:**
To solve this problem, you need to calculate the number of combinations for drawing 2 red marbles and 1 marble of any other color (which includes both yellow and blue marbles).
1. **Select 2 Red Marbles:**
- The number of red marbles in the bag is 5.
- The number of ways to choose 2 red marbles from 5 is calculated using combinations:
\[
\binom{5}{2} = \frac{5 \times 4}{2 \times 1} = 10
\]
2. **Select 1 Non-Red Marble (Yellow or Blue):**
- The number of non-red marbles in the bag is 3 yellow + 6 blue = 9.
- The number of ways to choose 1 non-red marble from 9 is:
\[
\binom{9}{1} = 9
\]
3. **Total Number of Ways:**
- Multiply the number of ways to choose the red marbles by the number of ways to choose the non-red marble:
\[
10 \times 9 = 90
\]
Therefore, there are 90 ways in which Miss K can draw 2 red marbles from the bag.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F28cf2dea-71b7-4a9d-8a4b-5214354e17b1%2F6d279380-f647-4396-8ece-d8ff0ee2186b%2Fs71r4p_processed.jpeg&w=3840&q=75)
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