Question

2 fill in the blank 9 points bag a contains 9 red marbles and 3 green marbles. bag b contains 9 black marbles and 6 orange marbles. find the probability of selecting one green marble from bag a and one black marble from bag b. write your answer as a fraction, decimal, or percent. round 2 decimal places. type your answer...

Explanation:

Step1: Calculate total marbles in Bag A

Bag A has 9 red + 3 green = 12 marbles. Probability of green from A: $\frac{3}{12}=\frac{1}{4}$.

Step2: Calculate total marbles in Bag B

Bag B has 9 black + 6 orange = 15 marbles. Probability of black from B: $\frac{9}{15}=\frac{3}{5}$.

Step3: Multiply the two probabilities (independent events)

$\frac{1}{4} \times \frac{3}{5} = \frac{3}{20} = 0.15$.

Answer:

0.15 (or $\frac{3}{20}$, or 15%)