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Difficulty: EasyBasic Probability and Counting Methods

A jar contains 33 green marbles, 55 yellow marbles, and 1212 purple marbles. If one marble is drawn at random from the jar, what is the probability that the drawn marble is NOT purple? Express your answer as a decimal.

Answer: 0.4

Answer

The probability that the drawn marble is NOT purple is 0.4.
To find the probability of drawing a non-purple marble, identify the number of non-purple marbles (3 green + 5 yellow = 8) and divide by the total number of marbles in the jar (3 + 5 + 12 = 20). The resulting fraction 8/20 simplifies to 0.4.

Step-by-Step Solution

1
Calculate the total number of outcomes in the sample space.
Total marbles = 3 + 5 + 12 = 20
The total sample space includes all marbles contained in the jar.
2
Determine the number of favorable outcomes.
Non-purple marbles = 3 + 5 = 8
A marble that is not purple must be either green or yellow.
3
Compute the probability.
Probability = 8 / 20 = 0.4
The probability of an event is the number of favorable outcomes divided by the total number of possible outcomes.

Key Concept

Basic Probability of Complementary Events
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Topics

Basic Probability and Counting Methods

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