Question

read the story. every sunday, greta and her grandpa play chat mat online. the goal of the game is to create a crossword puzzle using letter tiles. its easiest for players to make words if they have a few vowel tiles, but theres only a 30% chance that each tile will be a vowel tile. the computer randomly assigns greta 8 tiles to start the game. how likely is it that at least 2 of them are vowel tiles? which simulation could be used to fairly represent the situation? roll a six - sided die 8 times. each time an odd number appears, it represents a vowel tile. put 3 green marbles and 7 purple marbles in a bag. pick a marble, then return it to the bag, 2 times. each time a green marble appears, it represents a vowel tile. use a computer to randomly generate 8 numbers from 1 to 10. each time 1, 2, or 3 appears, it represents a vowel tile.

Explanation:

1. Analyze the first option: A six - sided die has 3 odd (1, 3, 5) and 3 even numbers. The probability of getting an odd number is $\frac{3}{6}=50\%$, but we need a 30% chance for a vowel tile. So this option is incorrect.
2. Analyze the second option: There are 3 green and 7 purple marbles, total 10 marbles. The probability of picking a green marble is $\frac{3}{10} = 30\%$, but we are only picking 2 times, while we need to simulate 8 tiles. So this option is incorrect.
3. Analyze the third option: Generating 8 numbers from 1 - 10. The numbers 1, 2, 3 are 3 out of 10 numbers. The probability of getting 1, 2, or 3 is $\frac{3}{10}=30\%$, and we are generating 8 numbers (to simulate 8 tiles). This matches the situation.

Answer:

Use a computer to randomly generate 8 numbers from 1 to 10. Each time 1, 2, or 3 appears, it represents a vowel tile.