If there is a 8 in 17 chance of randomly selecting a black tile from a bag of black and white tiles, which of the following could be the contents of the bag?
14 black, 32 white
14 black, 34 white
16 black, 34 white
16 black, 18 white
The probability of selecting a black tile from the bag with 14 black and 32 white tiles would be 14/46, which is approximately 0.30. This is not the same as 8/17, so this bag does not meet the criteria.
Similarly, the probability of selecting a black tile from the bag with 14 black and 34 white tiles would be 14/48, which is also not equal to 8/17.
For the bag with 16 black and 34 white tiles, the probability of selecting a black tile would be 16/50, which is not equal to 8/17.
However, for the bag with 16 black and 18 white tiles, the probability of selecting a black tile would be 16/34, which simplifies to 8/17. Therefore, the bag with 16 black and 18 white tiles is the correct answer.