Question

a bag contains 3 black marbles, 5 red marbles, and 2 white marbles. which two of the following probability statements are true? a p(red)=0.05 b p(black)=0.3 c p(white)=\frac{1}{5} d p(red)=\frac{1}{5}

Explanation:

Step1: Calculate total marbles

Total marbles = 3 (black) + 5 (red) + 2 (white) = 10.

Step2: Evaluate Option A

\( P(\text{red}) = \frac{5}{10} = 0.5
eq 0.05 \), so A is false.

Step3: Evaluate Option B

\( P(\text{black}) = \frac{3}{10} = 0.3 \), so B is true.

Step4: Evaluate Option C

\( P(\text{white}) = \frac{2}{10} = \frac{1}{5} \), so C is true.

Step5: Evaluate Option D

\( P(\text{red}) = \frac{5}{10} = \frac{1}{2}
eq \frac{1}{5} \), so D is false.

Answer:

B. \( P(\text{black}) = 0.3 \), C. \( P(\text{white}) = \frac{1}{5} \)