a box contains 2 purple marbles, 2 blue marbles, 3 green marbles, and 5 red marbles. which color marble is…

a box contains 2 purple marbles, 2 blue marbles, 3 green marbles, and 5 red marbles. which color marble is most likely to be picked? purple blue

a box contains 2 purple marbles, 2 blue marbles, 3 green marbles, and 5 red marbles. which color marble is most likely to be picked? purple blue

Answer

Explanation:

Step1: Calculate total number of marbles

$2 + 2+3 + 5=12$

Step2: Calculate probability of each color

  • Probability of purple: $\frac{2}{12}=\frac{1}{6}$
  • Probability of blue: $\frac{2}{12}=\frac{1}{6}$
  • Probability of green: $\frac{3}{12}=\frac{1}{4}$
  • Probability of red: $\frac{5}{12}$

Step3: Compare probabilities

Since $\frac{5}{12}>\frac{1}{4}>\frac{1}{6}$, red has the highest probability.

Answer:

red