Question

there are 20 marbles in a bag: 6 pink marbles, 10 yellow marbles, and 4 teal marbles. if one of these marbles is selected at random, what is the probability of selecting a pink marble? (express your answer as a decimal or fraction, not as a percent.)

Explanation:

Step1: Determine the formula for probability

The probability formula is \(P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\).

Step2: Identify the number of favorable and total outcomes

The number of pink marbles (favorable outcomes) is \(n = 6\). The total number of marbles is \(N=20\).

Step3: Calculate the probability

Substitute into the formula: \(P=\frac{6}{20}\). Simplify \(\frac{6}{20}=\frac{3}{10}=0.3\).

Answer:

\(0.3\) (or \(\frac{3}{10}\))