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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 %. reset next

Respuesta :

The probability that both the tiles are even numbered is [tex]\frac{4}{25}[/tex].

What is probability?            

Probability refers to the chance of occurrence of an event.

Let E be an event. Then, the probability of E = P(E)

=> P(E) = [tex]\frac{Number Of Favourable Outcomes Of E}{Total Number Of Outcomes}[/tex]

Now, given:

  1. Bag has 5 tiles: numbered 1-5.
  2. A tile is randomly selected, replaced in the bag and then, a second tile is drawn from the same collection.

To find the probability that the numbers on both the tiles are even:

The probability that the first tile drawn was even numbered = [tex]\frac{2}{5}[/tex] = P(A) (let)

The probability that the second tile drawn was even numbered = [tex]\frac{2}{5}[/tex] = P(B) (let)

Therefore, the probability that both the tiles are even numbered = P(A) . P(B) = [tex]\frac{2}{5} \times \frac{2}{5}[/tex] = [tex]\frac{4}{25}[/tex]

To learn more about probability, refer to the link: https://brainly.com/question/24756209

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