Answered

Find answers to your questions and expand your knowledge with IDNLearn.com. Get the information you need from our community of experts who provide accurate and comprehensive answers to all your questions.

A bag contains 1 blue, 2 green, 3 yellow, and 3 red marbles, as shown.

What is the probability of drawing a red marble out of the bag without looking?

A. [tex]$\frac{1}{9}$[/tex]
B. [tex]$\frac{2}{9}$[/tex]
C. [tex]$\frac{1}{3}$[/tex]
D. 1

Sagot :

GinnyAnsweridn
First, let's determine the total number of marbles in the bag.

The bag contains:
- 1 blue marble
- 2 green marbles
- 3 yellow marbles
- 3 red marbles

To find the total number of marbles, we sum these amounts:
[tex]\[ 1 + 2 + 3 + 3 = 9 \][/tex]

So, there are 9 marbles in total.

Next, we focus on the red marbles. There are 3 red marbles.

The probability of drawing a red marble is the ratio of the number of red marbles to the total number of marbles. This can be expressed as:
[tex]\[ \text{Probability of drawing a red marble} = \frac{\text{Number of red marbles}}{\text{Total number of marbles}} = \frac{3}{9} \][/tex]

We can simplify this fraction:
[tex]\[ \frac{3}{9} = \frac{1}{3} \][/tex]

Thus, the probability of drawing a red marble out of the bag without looking is:
[tex]\[ \boxed{\frac{1}{3}} \][/tex]
Your participation is crucial to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. Your search for solutions ends here at IDNLearn.com. Thank you for visiting, and come back soon for more helpful information.