Question

select the correct answer from each drop - down menu. a bag contains five tiles numbered 1 through 5. savannah randomly selects a tile from the bag, replaces the tile, and then draws a second tile. when savannah selects her tiles, selecting the first tile and selecting the second tile are events. the probability that the numbers on both tiles are even is %. independent dependent

Explanation:

Step1: Identify event type

Since the tile is replaced, the first draw does not affect the second draw, so the events are independent.

Step2: Find even tile count

Tiles numbered 1-5: even numbers are 2,4. So count of even tiles = 2.

Step3: Calculate single even probability

Probability of drawing even tile: $\frac{\text{Number of even tiles}}{\text{Total tiles}} = \frac{2}{5} = 0.4$

Step4: Calculate joint probability

Since events are independent, multiply probabilities: $0.4 \times 0.4 = 0.16$

Step5: Convert to percentage

$0.16 \times 100 = 16\%$

Answer:

1. independent
2. 16