Question

Julian belongs to a club that is marching in a parade. Each member of the club needs to wear one of the hats listed in the table below. PARADE HATS Red White Blue Straw Hat 25 20 40 Cowboy Hat 30 25 10 Julian chooses the first hat at random from all the hats. What is the probability the hat Julian chooses is blue? Show your work or explain your answer.

Answer 1

The total number of hats is the sum of all the hats in the table:

25 red straw hats + 20 white straw hats + 40 blue straw hats + 30 red cowboy hats + 25 white cowboy hats + 10 blue cowboy hats = 150 hats

Julian can choose any of the 150 hats, and there are 40 blue straw hats and 10 blue cowboy hats, for a total of 50 blue hats.

So, the probability of Julian choosing a blue hat is:

50 blue hats / 150 total hats = 1/3 or 0.333

Therefore, the probability of Julian choosing a blue hat is 1/3 or 0.333.