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 is $\frac{1}{10}$.

Step2: Calculate probability of red marble after blue draw

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

Step3: Calculate combined probability

Multiply the probabilities of the two events: $\frac{1}{10}\times\frac{2}{9}=\frac{2}{90}=\frac{1}{45}$.

Answer:

$\frac{1}{45}$