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

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 :

GinnyAnswer
To determine the probability of drawing a red marble from the bag, we'll start by calculating the total number of marbles and then use this to find the probability of selecting a red marble.

1. Count the total number of marbles:
- Number of blue marbles: 1
- Number of green marbles: 2
- Number of yellow marbles: 3
- Number of red marbles: 3

Total number of marbles = blue marbles + green marbles + yellow marbles + red marbles
= 1 + 2 + 3 + 3
= 9

2. Count the number of red marbles:
- Number of red marbles: 3

3. Calculate the probability of drawing a red marble:

The probability ([tex]\( P \)[/tex]) of drawing a red marble is given by the ratio of the number of red marbles to the total number of marbles.

[tex]\[ P(\text{red marble}) = \frac{\text{Number of red marbles}}{\text{Total number of marbles}} = \frac{3}{9} = \frac{1}{3} \][/tex]

Therefore, the probability of drawing a red marble from the bag is [tex]\(\frac{1}{3}\)[/tex].

The correct answer is:
[tex]\(\frac{1}{3}\)[/tex]
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