To determine the probability of drawing a red marble from the bag, we need to follow these steps:
1. Identify the total number of marbles:
The bag contains a total of 10 marbles.
2. Identify the number of favorable outcomes:
The number of red marbles in the bag is 4.
3. Calculate the probability:
The probability of an event is given by the ratio of the number of favorable outcomes to the total number of possible outcomes.
Putting it into a fraction:
[tex]\[
P(\text{red}) = \frac{\text{Number of red marbles}}{\text{Total number of marbles}} = \frac{4}{10}
\][/tex]
4. Simplify the fraction:
The fraction [tex]\(\frac{4}{10}\)[/tex] can be reduced by dividing both the numerator and the denominator by their greatest common divisor, which is 2.
[tex]\[
\frac{4}{10} = \frac{4 \div 2}{10 \div 2} = \frac{2}{5}
\][/tex]
Therefore, the probability of drawing a red marble from the bag is:
[tex]\[
P(\text {red}) = \frac{2}{5}
\][/tex]
In decimal form, this probability is:
[tex]\[
P(\text {red}) = 0.4
\][/tex]
