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Math / Statistics / Grade 7 / mt7p1

Count Equally Likely Tiles

Name the wanted tiles and the whole bag before writing a probability.

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In these models, every individual tile has the same chance of being drawn. The probability of a shape is its tile count divided by the total number of tiles, not by the number of shape names. A chance between zero and one is not a promise. Zero matching tiles makes an event impossible; all matching tiles makes it certain. Each question starts with its own stated bag.

Worked example

A separate example bag holds 2 stars and 3 circles. It contains 5 tiles, so the star chance is 2/5 and the circle chance is 3/5. Circles are more likely, but a star is still possible. There are two shape names, but their chances are not both 1/2.

Bag A contains three labeled star tiles and five labeled circle tiles. Each of the eight individual tiles is equally likely.
Use Bag A for Questions 1 and 2. Other questions state separate bags.
Question 1 Bag A has 3 stars and 5 circles. What is the chance of drawing a star?
Question 2 From Bag A, what is the chance of NOT drawing a star?
Question 3 A separate bag contains 0 stars and 6 circles. How likely is drawing a star?
Question 4 A separate bag contains 7 stars and no other tiles. What is the chance of drawing a star?
Question 5 A bag has 4 stars and 1 circle. Which statement is justified before one draw?