Question

In earn contains two white marbles, three green marbles, and 5 red marbles. A marble is drawn and then replaced. Then the second marble is drawn. What is the probability that the first marbel was white and the second was Green?

Answer 1

$\text{probability}=\frac{\text{ number of favorable outcomes}}{\text{ total number of outcomes}}$

total number of outcomes = 2 + 3 + 5 = 10

The probability of getting a white marble is:

$P(white)=\frac{2}{10}=\frac{1}{5}$

The probability of getting a green marble is:

$P(green)=\frac{3}{10}$

The events: getting a white marble and getting a green marble are independent since there is a replacement after each drawing. Then, the probability that the first marble was white and the second was Green is:

$\text{ P(white and gr}een\text{) =}P(white)\cdot P(green)=\frac{1}{5}\cdot\frac{3}{10}=\frac{3}{50}$