Hard Question to challange your Brain!

Question

Martin is helping his mom set up for a school event. His mom put 150 cups into a box. There are 40 red cups, 60 blue cups, and 50 green cups in the box. He randomly picks 90 cups from the box and sets them out on tables.

How many blue cups is he likely to have set out on tables?

Answer 1

STARTING WITH A BOX CONTAINING 150 CUPS

Red Cups = 40 = 40/150 = 4/15

Blue Cups = 60 = 60/150 = 6/15

Green Cups = 50 = 50/150 = 5/15

MARTIN RANDOMLY SELECTS 90 CUPS FROM THE BOX

Number of RED cups out of 90 = 4/15 and (4/15)(90) = 24

Number of BLUE cups out of 90 = 6/15 and (6/15)(90) = 36

Number of GREEN cups out of 90 = 5/15 and (5/15)(90) = 30

How many blue cups is he likely to have set out on tables?

ANSWER: 36 BLUE CUPS

Hope this helps Nico.

This assumes a lot. In the real world, it would be highly unlikely that the same ratio of

colored cups in the box of 150 would match the same ratio in the 90 cups on the tables.