SOLUTION: There are 3 red, 1 blue and 2 green marbles in a bag. A marble is randomly drawn from the bag twice, with replacement. What is the theoretical probability of choosing one red marbl

Algebra ->  Probability-and-statistics -> SOLUTION: There are 3 red, 1 blue and 2 green marbles in a bag. A marble is randomly drawn from the bag twice, with replacement. What is the theoretical probability of choosing one red marbl      Log On


   

Question 1200982: There are 3 red, 1 blue and 2 green marbles in a bag. A marble is randomly drawn from the bag twice, with replacement. What is the theoretical probability of choosing one red marble and one green marble?
Answer by ikleyn(52802) About Me  (Show Source):
You can put this solution on YOUR website!
.
There are 3 red, 1 blue and 2 green marbles in a bag.
A marble is randomly drawn from the bag twice, with replacement.
What is the theoretical probability of choosing one red marble and one green marble?
~~~~~~~~~~~~~~~~~ 

  P(one red marble and one green marble) = 


  = P(1st marble is red; 2nd marble is green) + P(1st marble is green; 2nd marble is red) = 


  = %283%2F6%29%2A%282%2F6%29 + %282%2F6%29%2A%283%2F6%29 = %281%2F2%29%2A%281%2F3%29 + %281%2F3%29%2A%281%2F2%29 = 1%2F6 + 1%2F6 = 2%2F6 = 1%2F3.   ANSWER

Solved.