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: Calculate total marbles

Total marbles = 3 + 2 = 5

Step2: Probability of 1 blue marble

$P(\text{blue}) = \frac{3}{5} = 0.6$

Step3: Probability of two blue marbles

Since marbles are replaced, events are independent: $P(\text{both blue}) = 0.6 \times 0.6 = 0.36$

Step4: Convert to percentage

$0.36 \times 100 = 36$

Answer:

36