To determine the probability of drawing a white marble from the bag, let’s follow these steps:
1. Identify the total number of marbles in the bag:
- The bag contains 4 red marbles, 3 blue marbles, 2 white marbles, and 1 yellow marble.
- Adding these together gives us a total of [tex]\( 4 + 3 + 2 + 1 = 10 \)[/tex] marbles.
2. Identify the number of white marbles in the bag:
- The bag has 2 white marbles.
3. Calculate the probability of drawing a white marble:
- Probability is defined as the number of favorable outcomes divided by the total number of possible outcomes.
- The number of favorable outcomes is the number of white marbles, which is 2.
- The total number of possible outcomes is the total number of marbles, which is 10.
- So, the probability of drawing a white marble is [tex]\( \frac{2}{10} \)[/tex].
4. Reduce the fraction to its simplest form:
- Both the numerator (2) and the denominator (10) can be divided by their greatest common divisor, which is 2.
- Dividing both the numerator and the denominator by 2, we get [tex]\( \frac{2 \div 2}{10 \div 2} = \frac{1}{5} \)[/tex].
Therefore, the probability of drawing a white marble is [tex]\( \frac{1}{5} \)[/tex].
Thus,
[tex]$
\frac{1}{5}
$[/tex]
