Question

read the story.
natalie is a potter who makes her own ceramic pieces. 10% of the time, a piece breaks while its heated in the kiln. natalie made 6 vases today. how likely is it that none of the vases will break?
natalie simulates the situation by using a computer to randomly generate 6 numbers from 1 to 20. each time 1 or 2 appears, it represents a broken vase.
this table shows the results of 500 trials:
based on natalies results, what is the probability that none of the vases will break?
%

Explanation:

Step1: Recall the formula for experimental probability

Experimental probability \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\)

Step2: Identify the number of favorable outcomes and total number of outcomes

The number of favorable outcomes (where the number of times 1 or 2 appears is 0) is 265. The total number of trials is 500.

Step3: Calculate the probability

\(P=\frac{265}{500}\)
Simplify \(\frac{265\div5}{500\div5}=\frac{53}{100} = 0.53\)
Convert to percentage: \(0.53\times100\% = 53\%\)

Answer:

53%