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)=(2)/(10)=(1)/(5)`

The probability of getting a green marble is:

`P(green)=(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)=(1)/(5)\cdot(3)/(10)=(3)/(50)`