Question

type the correct answer in each box. if necessary, use / for the fraction bar. a bag contains 5 blue marbles, 2 black marbles, and 3 red marbles. a marble is randomly drawn from the bag. the probability of not drawing a black marble is . the probability of drawing a red marble is .

Explanation:

Step1: Find total number of marbles

Total marbles = Blue + Black + Red = \(5 + 2 + 3 = 10\)

Step2: Probability of not drawing a black marble

Number of non - black marbles = Total - Black = \(10 - 2 = 8\)
Probability = \(\frac{\text{Non - black marbles}}{\text{Total marbles}}=\frac{8}{10}=\frac{4}{5}\)

Step3: Probability of drawing a red marble

Number of red marbles = 3
Probability = \(\frac{\text{Red marbles}}{\text{Total marbles}}=\frac{3}{10}\)

Answer:

\(\frac{4}{5}\), \(\frac{3}{10}\)