Question

1. a box contains spheres and cubes as shown below. which statement is true? a. the probability of choosing randomly a white sphere is 3/5. b. the probability of choosing randomly a black cube is 1/3. c. the probability of choosing randomly a black sphere is 1/4. d. the probability of choosing randomly a sphere is 3/8.

Explanation:

Step1: Count total number of objects

There are \(8\) objects in total (\(3\) white spheres, \(2\) black spheres, \(1\) black cube, \(2\) white cubes).

Step2: Analyze each option

• Option A: Probability of choosing a white sphere is \(\frac{3}{8}

eq\frac{3}{5}\).

• Option B: Probability of choosing a black cube is \(\frac{1}{8}

eq\frac{1}{3}\).

• Option C: Probability of choosing a black sphere is \(\frac{2}{8}=\frac{1}{4}\).
• Option D: Probability of choosing a sphere is \(\frac{3 + 2}{8}=\frac{5}{8}

eq\frac{3}{8}\).

Answer:

C. The probability of choosing randomly a black sphere is \(1/4\).