Question

the probability of picking a blue marble out of a bag of 50 marbles is $\frac{3}{25}$. how many marbles in the bag are not blue?

Explanation:

Step1: Calculate number of blue marbles

Let the number of blue marbles be $x$. The probability formula is $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Given $P = \frac{3}{25}$ and total number of marbles $n = 50$. So $\frac{x}{50}=\frac{3}{25}$. Cross - multiply: $25x=3\times50$. Then $25x = 150$, and $x=\frac{150}{25}=6$.

Step2: Calculate number of non - blue marbles

The number of non - blue marbles is the total number of marbles minus the number of blue marbles. Total marbles are 50 and blue marbles are 6. So non - blue marbles $=50 - 6=44$.

Answer:

44