Question

type the correct answer in the box. use numerals instead of words.
a jar contains 3 blue marbles and 2 red marbles.
a marble is randomly selected from the jar and replaced, and then a second marble is chosen.
the probability that a blue marble was chosen both times is %.

Explanation:

Step1: Find total marbles

Total marbles = 3 (blue) + 2 (red) = 5.

Step2: Probability of blue first time

Probability of blue = $\frac{\text{Number of blue marbles}}{\text{Total marbles}}$ = $\frac{3}{5}$.

Step3: Probability of blue second time (with replacement)

Since we replace the marble, the probability of blue the second time is also $\frac{3}{5}$.

Step4: Probability of blue both times

For independent events, the probability of both events happening is the product of their probabilities. So, Probability = $\frac{3}{5} \times \frac{3}{5}$ = $\frac{9}{25}$.

Step5: Convert to percentage

To convert to a percentage, multiply by 100: $\frac{9}{25} \times 100$ = 36.

Answer:

36