A bag contains 8 red marbles, 4 blue marbles and 5 green marbles. If three marbles are drawn out of the bag, what is the probability, to the nearest 10th of a percent, that all three marbles drawn will be green? Answer:

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Determine total marbles: Determine the total number of marbles in the bag. The bag contains 8 red marbles, 4 blue marbles, and 5 green marbles. To find the total, add these numbers together. Total marbles = 8 red + 4 blue + 5 green Total marbles = 17 marblesCalculate green marble probability: Calculate the probability of drawing one green marble. Since there are 5 green marbles out of 17 total marbles, the probability of drawing one green marble is: Probability of one green marble = Number of green marbles / Total number of marbles Probability of one green marble = 5 / 17Calculate second green marble probability: Calculate the probability of drawing a second green marble after one has already been drawn. After drawing one green marble, there are now 4 green marbles left and 16 marbles in total. Probability of second green marble = Number of remaining green marbles / Total remaining marbles Probability of second green marble = 4 / 16Calculate third green marble probability: Calculate the probability of drawing a third green marble after two have already been drawn. After drawing two green marbles, there are now 3 green marbles left and 15 marbles in total. Probability of third green marble = Number of remaining green marbles / Total remaining marbles Probability of third green marble = 3 / 15Calculate combined probability: Calculate the combined probability of drawing three green marbles in a row. To find the combined probability, multiply the probabilities from each of the previous steps. Combined probability = Probability of one green marble × Probability of second green marble × Probability of third green marble Combined probability = (5 / 17) × (4 / 16) × (3 / 15) Combined probability = (5 × 4 × 3) / (17 × 16 × 15) Combined probability = 60 / 4080 Combined probability = 1 / 68Convert to percentage: Convert the probability to a percentage and round to the nearest tenth of a percent. To convert to a percentage, multiply the probability by 100. Percentage = Combined probability × 100 Percentage = (1 / 68) × 100 Percentage ≈ 1.47% Since we need to round to the nearest tenth of a percent, the final answer is 1.5%.

A bag contains $8$ red marbles, $4$ blue marbles and $5$ green marbles. If three marbles are drawn out of the bag, what is the probability, to the nearest $10$ th of a percent, that all three marbles drawn will be green? $\newline$ Answer:

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A bag contains $8$ red marbles, $4$ blue marbles and $5$ green marbles. If three marbles are drawn out of the bag, what is the probability, to the nearest $10$ th of a percent, that all three marbles drawn will be green? $\newline$ Answer: