Question

Maggie has 7 tiles with pictures of plants and 2 tiles with pictures of animals. Maggie 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 Maggie turns over has a plant on it?

22.2%
28.6%
65.0%
75.0%

Answer 1

7 tiles with plants and 2 tiles with animals...total of 9 tiles

she flips a plant tile, and does not replace it.

probability that 2nd tile is a plant = 6/8 = 0.75 = 75%

Answer 2

Answer: The probability that the second tile that Maggie turns over has a plant on it, is 75.0 %.

Explanation:

We have,

Number of tiles with pictures of plants = 7

And, number of tiles with pictures of animals = 2,

⇒ Total numbers of tiles = 7 + 2 = 9,

After removing one picture of plant tile,

The remaining number of plant tiles = 7 - 1 = 6,

And, total numbers of remaining tiles = 9 - 1 = 8.

Since,

`\text{ The probability of plant tile in second trial}=\frac{\text{Remaining plant tiles}}{\text{Total remaining tiles}}`

`=(6)/(8)`

`=0.75 = 75\%` (Because, 0.01 = 1% ⇒ 0.75 = 75% )

Thus, the probability that the second tile that Maggie turns over has a plant on it, is 75.0 %.