A bag has 2x+1 red marbles, 3x blue marbles, and x+2 green marbles. What is the probability of picking a red marble?
total = 2x+1 + 3x + x+2
= 6x + 3
prob red = (2x+1)/(6x+3)
= (2x+1)/(3(2x+1) )
= 1/3
To find the probability of picking a red marble, we first need to determine the total number of marbles in the bag.
The bag contains:
- 2x+1 red marbles
- 3x blue marbles
- x+2 green marbles
To find the total number of marbles, we sum the numbers of each color:
Total marbles = (2x+1) + (3x) + (x+2)
Simplifying this expression:
Total marbles = 6x + 3
Now, to find the probability of picking a red marble, we divide the number of red marbles by the total number of marbles:
Probability of picking a red marble = (2x+1) / (6x + 3)
And that is the probability of picking a red marble from the bag.