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?
which simulation could be used to fairly represent the situation?
create a deck of 20 cards, each labeled with a different number from 1 to 20. pick a card, then return it to the deck, 10 times. each time 1 or 2 appears, it represents a broken vase.
use a computer to randomly generate 6 numbers from 1 to 20. each time 1 or 2 appears, it represents a broken vase.
roll a six - sided die 6 times. each time 1 or 2 appears, it represents a broken vase.
submit

Explanation:

Step1: Calculate the probability of each option

• Option 1:
• There are 20 cards. The probability of getting 1 or 2 (representing a broken vase) is \(P=\frac{2}{20} = 0.1\). But we need to pick 10 times, which is more than the number of vases (6).
• Option 2:
• There are 20 numbers. The probability of getting 1 or 2 (representing a broken vase) is \(P=\frac{2}{20}=0.1\). We generate 6 numbers, which is the number of vases.
• Option 3:
• There are 6 sides on a die. The probability of getting 1 or 2 (representing a broken vase) is \(P = \frac{2}{6}\approx0.33

eq0.1\).

Answer:

Use a computer to randomly generate 6 numbers from 1 to 20. Each time 1 or 2 appears, it represents a broken vase.