Praxis 5003 Practice Test Practice Question
One marble will be selected at random from a bag that contains 6 red marbles, 2 blue marbles, 3 white marbles, and 1 yellow marble only. What is the probability that the marble selected will be either red or white?
Correct Answer: 3/4
Rationale: To find the probability of selecting a red or white marble, first determine the total number of marbles: 6 red + 2 blue + 3 white + 1 yellow = 12 marbles. The favorable outcomes for red or white marbles are 6 red + 3 white = 9 marbles. Thus, the probability is calculated as the number of favorable outcomes (9) divided by the total outcomes (12), resulting in 9/12, which simplifies to 3/4.
Other options are incorrect because:
- 1/2 does not account for all favorable outcomes.
- 2/3 incorrectly adds only red and white marbles, miscalculating total outcomes.
- 1/3 fails to recognize the correct ratio of favorable outcomes to total marbles.
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