5
QuizMultiple Choice

Simulations to Estimate Probabilities — Unit test

Question 5 • Common Core Math 7 - MA3107 CR

A jar contains only one blue tile, one green tile, one red tile, and one yellow tile. If a tile is chosen at random and then replaced in the jar, and then a second tile is chosen at random, how many of the possible outcomes contain at least one red tile?

Answer
A
1
B
2
C
4
D
7

Explanation

Because the tile is replaced, the two draws are independent and order matters, giving 4 × 4 = 16 possible outcomes. The outcomes with no red tile number 3 × 3 = 9, so 16 − 9 = 7 outcomes contain at least one red tile; the correct choice is 7.

AI-written and checked against the verified answer.

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