Question

1. a marble is randomly selected from a bag of 32 red and yellow marbles. what is the probability that the selected marble is red, if there are 20 yellow marbles in the bag?

Explanation:

Step1: Calculate the number of red marbles

Total marbles = 32, yellow marbles = 20. So red marbles = \(32 - 20=12\)

Step2: Calculate the probability of selecting a red marble

Probability formula: \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). Here, number of favorable outcomes (red marbles) = 12, total number of outcomes = 32. So \(P=\frac{12}{32}=\frac{3}{8}\)

Answer:

\(\frac{3}{8}\)