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50 pencils are in a box. 8 of them are mechanical. what is the probabil…

Question

50 pencils are in a box. 8 of them are mechanical. what is the probability of drawing 2 mechanical pencils if the first one is placed back in the box before the second draw? round your answer to the ne

Explanation:

Step1: Find probability of 1 mechanical pencil

Probability = $\frac{\text{Number of mechanical pencils}}{\text{Total pencils}} = \frac{8}{50} = 0.16$

Step2: Calculate probability of 2 draws (with replacement)

Since draws are independent: $0.16 \times 0.16 = 0.0256$

Step3: Round to nearest (assumed hundredth)

$0.0256 \approx 0.03$

Answer:

0.03