Question

A jar contains five red marbles and three green marbles. A marble is drawn at random and not replaced. A second marble is then drawn from the jar. Find the probability that the first marble is red and the second marble is green.

Answer 1

Probablility that that first marble is red:

`P_(red) = (red)/(total)`

`P_(red) = (5)/(5+3)`

Probability that the second marble is green:

`P_(green) = (green)/(total(new))`

`P_(green)= (3)/(4+3)` (because 1 red is now gone)


`P_(total)=P_(red) * P_(green)`

`P_(total)= (6)/(8) * (3)/(7) = (18)/(56) = (9)/(28) \approx 32.1\%`