Final answer:
The probability of drawing two green marbles with replacement from a jar containing 4 green marbles and 6 yellow marbles is 0.16.
Step-by-step explanation:
The question involves calculating the probability of drawing two green marbles from a jar that contains a mix of green and yellow marbles, with the draw being with replacement. This means after drawing a marble, it is put back into the jar before drawing the next one.
To find the probability of two independent events both happening, we multiply the individual probabilities. Since there are 4 green marbles out of a total of 10 (4 green and 6 yellow), the probability of drawing a green marble on the first draw is 4/10 or 0.4. With replacement, the second draw has the same probability of 4/10 as the first draw.
Therefore, the probability of drawing a green marble twice with replacement is calculated as:
P(green and green) = P(green on first draw) × P(green on second draw) = 0.4 × 0.4 = 0.16.