11. suppose you have a bag with 20 letter tiles in it, and 3 of the tiles are labeled y. suppose a second…

11. suppose you have a bag with 20 letter tiles in it, and 3 of the tiles are labeled y. suppose a second bag has 500 letter tiles in it, and 170 of the tiles are labeled y. from which bag are you more likely to pick a tile that is labeled y? explain.

11. suppose you have a bag with 20 letter tiles in it, and 3 of the tiles are labeled y. suppose a second bag has 500 letter tiles in it, and 170 of the tiles are labeled y. from which bag are you more likely to pick a tile that is labeled y? explain.

Answer

Explanation:

Step1: Calculate probability for first bag

The probability $P_1$ of picking a tile labeled Y from the first bag is the number of Y - tiles divided by the total number of tiles. So $P_1=\frac{3}{20}= 0.15$.

Step2: Calculate probability for second bag

The probability $P_2$ of picking a tile labeled Y from the second bag is the number of Y - tiles divided by the total number of tiles. So $P_2=\frac{170}{500}=0.34$.

Step3: Compare probabilities

Since $0.34>0.15$ ($P_2 > P_1$), we are more likely to pick a tile labeled Y from the second bag.

Answer:

We are more likely to pick a tile labeled Y from the second bag.