A bag contains 10 marbles. Four of them are red, three are blue, two are white, and one is yellow. A marble is drawn at random. What is the probability that it is white? Make sure you reduce your answer.

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Answer :

To determine the probability of drawing a white marble from a bag containing different colored marbles, we follow these steps:

1. Identify the total number of marbles:
There are 10 marbles in the bag.

2. Identify the number of white marbles:
There are 2 white marbles in the bag.

3. Set up the probability formula:
The probability [tex]\( P \)[/tex] of an event occurring is given by the ratio of the favorable outcomes to the total number of possible outcomes. Thus, the probability of drawing a white marble is:
[tex]\[ \text{Probability} = \frac{\text{Number of white marbles}}{\text{Total number of marbles}} \][/tex]

4. Plug in the numbers:
[tex]\[ \text{Probability} = \frac{2}{10} \][/tex]

5. Simplify the fraction:
Simplifying [tex]\(\frac{2}{10}\)[/tex] gives:
[tex]\[ \frac{2}{10} = \frac{1}{5} \][/tex]

6. Convert the fraction to a decimal or percentage (optional):
[tex]\(\frac{1}{5}\)[/tex] as a decimal is 0.2, and as a percentage, it is 20%.

Therefore, the probability of drawing a white marble from the bag is:
[tex]\[ \boxed{0.2} \][/tex]