Question

Suppose you have a bag with 20 letter tiles in it and 7 of the tiles are the letter Upper Y. If you pick a letter tile at random from the​ bag, the probability that it is the letter Upper Y is StartFraction 7 Over 20 EndFraction . Suppose another bag has 500 letter tiles in it and 240 of the tiles are the letter Upper Y. Write the probability of picking a tile that is the letter Upper Y as a fraction and as a percent. From which bag are you more likely to pick a tile that is the letter Upper Y​?

Answer 1

P(A​) as a fraction is

StartFraction 23 Over 50 EndFraction

P(A​) as a percent is 46​%

You are more likely to pick a tile that is the letter A from the bag with

400

tiles in it.

Answer 2

Explanation:

Probability is expressed as

Number of favorable outcomes/number of total outcomes

Considering the first bag, the probability that you pick a letter that is Upper Y is 7/20 = 0.35

Converting to percentage, it becomes

0.35 × 100 = 35%

Considering the second bag, the probability that you pick a letter that is Upper Y is 240/500 = 0.48

Converting to percentage, it becomes

0.48 × 100 = 48%

Therefore, you are more likely to pick a tile that is the Upper Y letter from the second bag.