use the information to answer the question. two jars each contain 5 blue and 10 red marbles. ahmad moves 2…

use the information to answer the question. two jars each contain 5 blue and 10 red marbles. ahmad moves 2 blue marbles from one jar to the other jar. ahmad then randomly selects 1 marble from each jar. to the nearest percentage, what is the probability that ahmad selects 2 blue marbles? enter the answer in the box. %

use the information to answer the question. two jars each contain 5 blue and 10 red marbles. ahmad moves 2 blue marbles from one jar to the other jar. ahmad then randomly selects 1 marble from each jar. to the nearest percentage, what is the probability that ahmad selects 2 blue marbles? enter the answer in the box. %

Answer

Explanation:

Step1: Calculate marbles in first jar

After moving 2 blue - marbles, the first jar has (5 - 2=3) blue marbles and 10 red marbles, so a total of (3 + 10 = 13) marbles. The probability of selecting a blue marble from the first jar, (P_1=\frac{3}{13}).

Step2: Calculate marbles in second jar

The second jar has (5+2 = 7) blue marbles and 10 red marbles, so a total of (7 + 10=17) marbles. The probability of selecting a blue marble from the second jar, (P_2=\frac{7}{17}).

Step3: Calculate the joint - probability

Since the selections from the two jars are independent events, the probability of selecting a blue marble from each jar is (P = P_1\times P_2=\frac{3}{13}\times\frac{7}{17}=\frac{21}{221}\approx0.095).

Step4: Convert to percentage

To convert the probability to a percentage, we multiply by 100: (0.095\times100 = 9.5%\approx10%).

Answer:

10%