SOLUTION: A jar contains 5 green marbles and 3 orange marbles. You randomly choose a marble from the jar. Wothout replacing the marble, you choose a second marble. What is the probability

Algebra ->  Probability-and-statistics -> SOLUTION: A jar contains 5 green marbles and 3 orange marbles. You randomly choose a marble from the jar. Wothout replacing the marble, you choose a second marble. What is the probability      Log On


   

Question 68858: A jar contains 5 green marbles and 3 orange marbles. You randomly choose a marble from the jar. Wothout replacing the marble, you choose a second marble. What is the probability that the first marble is green and the second is orange?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The chances of choosing a green marble is represented by the number of green marbles divided by the total number of marbles. To find the probability of finding the orange is again number of orange over total, which is now minus one.
Here is a symbolic representation:
P(choosing green)=#green marbles/#total
P(choosing orange)=#orange marbles/#total
In this case:
P(green)=5%2F%285%2B3%29=5%2F8
P(orange)=3%2F%285%2B3-1%29=3%2F7
which makes sense, the more green means there's a higher chance of picking them