Question

Challenge  Suppose you have a bag with 50 letter tiles in it and 17 of the tiles are the letter Upper Z. If you pick a letter tile at random from the​ bag, the probability that it is the letter Upper Z is StartFraction 17 Over 50 EndFraction
. Suppose another bag has 300 letter tiles in it and 174 of the tiles are the letter Upper Z. Write the probability of picking a tile that is the letter Upper Z as a fraction and as a percent. From which bag are you more likely to pick a tile that is the letter Upper Z​?
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Part 1
​P(Upper Z​) as a fraction is
  
StartFraction 29 Over 50 EndFraction
.
​(Simplify your​ answer.)
Part 2
​P(Upper Z​) as a percent is
  
enter your response here​%.

Answer 1

Part 1: P(Upper Z) = 174/300 = 29/50.

Part 2: P(Upper Z) = 29/50 = 0.58 = 58%.

You are more likely to pick an Upper Z from the second bag (58% vs. 34% for the first bag).