Question

lucia has some tiles with numbers on them, as shown. she puts them in a bag and chooses one without looking. which event has a probability of 0? choosing a tile with a number less than 3; choosing a tile with the number 9; choosing a tile with a number greater than 6; choosing a tile with the number 4. the tiles have numbers: 1, 2, 3, 5, 6, 8, 9, 10 (arranged in a grid).

Explanation:

Step1: Identify total tiles

Total tiles = 8 (numbers: 1,2,3,5,6,8,9,10)

Step2: Check each event's valid tiles

• Tiles <3: 1,2 (count=2)
• Tile=9: 9 (count=1)
• Tiles >6: 8,9,10 (count=3)
• Tile=4: 0 tiles (count=0)

Step3: Calculate probability for each event

Probability = $\frac{\text{Valid tile count}}{\text{Total tile count}}$

• P(<3) = $\frac{2}{8} = \frac{1}{4}$
• P(9) = $\frac{1}{8}$
• P(>6) = $\frac{3}{8}$
• P(4) = $\frac{0}{8} = 0$

Answer:

Choosing a tile with the number 4