Question

calculate the probability of drawing a blue, followed by a red marble. no replacement. what is the probability of drawing a blue marble? $\frac{?}{10}\times\frac{2}{}=\frac{}{}=\frac{}{}$

Explanation:

Step1: Calculate probability of blue marble

There is 1 blue marble out of 10 marbles. So the probability of drawing a blue marble first is $\frac{1}{10}$.

Step2: Calculate probability of red marble after blue

After drawing a blue marble (no - replacement), there are 9 marbles left and 2 red marbles. So the probability of drawing a red marble second is $\frac{2}{9}$.

Step3: Calculate combined probability

The probability of drawing a blue followed by a red marble is the product of the two probabilities. $\frac{1}{10}\times\frac{2}{9}=\frac{2}{90}=\frac{1}{45}$.

Answer:

$\frac{1}{45}$