Question

Greg has a bag that contains 25 colored tiles. Of all the tiles in the bag, 10 are blue. Suppose another bag contains 250 colored tiles. Of all the tiles in this bag, 75 are blue. From which bag is Greg less likely to pick a blue tile?

Explain.

Answer 1

Step-by-step explanation: The chances of Greg picking from the first bag is: 10/25

The chances of Greg picking from the second bag is 75/250

Now we simplify 10/25 = 2/5

And, 75/250 = 3/10

It's pretty easy to see 2/5>3/10

So he has a lower chance of picking from the second bag (250 colored tiles).

Answer 2

Greg is less likely to pick a blue tile from the bag containing 25 total tiles and 10 blue tiles. This is because the probability of selecting a blue tile from this bag is higher (10/25 or 2/5) than the probability of selecting a blue tile from the bag containing 250 total tiles and 75 blue tiles (75/250 or 3/10).

Explanation: