Question

Tania has 6 tiles with pictures of plants and 3 tiles with pictures of animals. Tania keeps all the tiles on a mat with the pictures hidden and mixes them up. She then turns one tile face up and finds the picture of a plant on it. She removes this tile from the mat and turns over another tile without looking. What is the probability that the second tile that Tania turns over has a plant on it?

Answer 1

Initially there were 6 tiles with pictures of plants and 3 tiles with pictures of animals.
She removes one tile with the picture of a plant, so now there are 5 tiles with pictures of plants and 3 tiles with pictures of animals. There are 5+3=8 tiles in total.

The probability that the second tile has a plant on it is the number of tiles with pictures of plants (5) divided by the total number of tiles (8).

The probability is $\frac{5}{8}$.