Question

Suppose you have a bag with 25 letter tiles in it and 7 of the tiles are the letter V. If you pick a letter tile at random from the​ bag, the probability that it is the letter V is 7/25

. Suppose another bag has 500 letter tiles in it and 250 of the tiles are the letter V. Write the probability of picking a tile that is the letter V as a fraction and as a percent. From which bag are you more likely to pick a tile that is the letter V​?

Answer 1

• |S|=500
• |E|=250

So

`\\ \rm\hookrightarrow P(E)=(|E|)/(|S|)`

`\\ \rm\hookrightarrow P(E)=250/500=1/2=0.5`

• 7/25=0.3

Second bag is more preferable

Answer 2

Bag 1

Probability of picking a V = P(V) = 7/25 = 0.28

Bag 2

Probability of picking a V = P(V) = 250/500 = 1/2 = 0.5

You are more likely to pick a tile that is the letter V from Bag 2 since 0.5 > 0.28