Question

determining probability
you have a bag with 4 red marbles, 3 green marbles, 2
blue marbles, and 1 purple marble.
what is the probability of drawing a red marble out of the
bag?
which marble color is least likely to be picked?

Explanation:

Step1: Count the number of each color marble

There are \(4\) red marbles (\(R\)), \(3\) green marbles (\(G\)), \(2\) blue marbles (\(B\)), and \(1\) purple marble (\(P\)).

Step2: Calculate the probability formula

The probability formula is \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). The total number of marbles \(n = 4 + 3+2 + 1=10\).

• Probability of red: \(P(R)=\frac{4}{10}=\frac{2}{5}\)
• Probability of green: \(P(G)=\frac{3}{10}\)
• Probability of blue: \(P(B)=\frac{2}{10}=\frac{1}{5}\)
• Probability of purple: \(P(P)=\frac{1}{10}\)

Answer:

Purple.