Question

14
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 %

Explanation:

Step1: Identify event - type

Since tile is replaced, events are independent.

Step2: Calculate probability of even - numbered tile

Even numbers are 2, 4, 6. Probability of getting an even - numbered tile in one draw is $\frac{3}{6}=\frac{1}{2}$.

Step3: Calculate joint probability

Since events are independent, probability of both tiles being even is $\frac{1}{2}\times\frac{1}{2}=\frac{1}{4}=25\%$.

Answer:

Independent; 25%