You are given a bag containing 50 marbles. The marbles are red, or green. There is one blue marble in the bag. The odds of randomly picking a green marble from the bag are 1:24. What is the ratio of green marbles to red marbles in the bag?
We know that, odds of an event = P(event) / 1 - P(event)
Here, if we consider the event of randomly picking a green marble as G and randomly picking a red marble as R , P(R) = 1- P(G). This is because there are only red and green marbles in the bag.
Now, P(G) = N(G) / 50 and P(R) = N(R)/50
,where N(G) is the no of green marbles and N(R) is the number of red marbles.
Odds of picking a green marble = P(G)/P(R)
=( N(G) / 50) / (N(R)/50)
= N(G) / N(R)
Given that, Odds of picking a green marble = 1/24
Therefore, N(G) / N(R) = 1/24
The ratio of green marbles to red marbles in the bag is equal to 1:24.
Get Answers For Free
Most questions answered within 1 hours.