Questions: Suppose that an urn contains 2 yellow marbles, 7 white marbles, and 11 green marbles. If one marble is selected, determine the probability that it is white.

Suppose that an urn contains 2 yellow marbles, 7 white marbles, and 11 green marbles. If one marble is selected, determine the probability that it is white.
Transcript text: Suppose that an urn contains 2 yellow marbles, 7 white marbles, and 11 green marbles. If one marble is selected, determine the probability that it is white. $\qquad$
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Solution

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Solution Steps

To determine the probability that a randomly selected marble from the urn is white, we need to follow these steps:

  1. Calculate the total number of marbles in the urn.
  2. Identify the number of white marbles.
  3. Use the probability formula: Probability = (Number of favorable outcomes) / (Total number of outcomes).
Step 1: Total Number of Marbles

The total number of marbles in the urn is calculated as follows: \[ \text{Total marbles} = \text{Yellow marbles} + \text{White marbles} + \text{Green marbles} = 2 + 7 + 11 = 20 \]

Step 2: Number of Favorable Outcomes

The number of favorable outcomes for selecting a white marble is given by the number of white marbles: \[ \text{Favorable outcomes} = \text{White marbles} = 7 \]

Step 3: Calculate Probability

The probability \( P \) of selecting a white marble is calculated using the formula: \[ P(\text{White}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{7}{20} = 0.35 \]

Final Answer

The probability that a randomly selected marble is white is \[ \boxed{0.35} \]

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