Students will randomly select a tile from a bag containing one red, one yellow, one blue, and one green tile, and then roll a cube with faces numbered 1 through 6 . What is the probability that a student - draws a red or yellow tile, and - rolls a number between 1 and 3 . Enter your answer as a percentage, to the nearest percent. E\%

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UpStudy AI · Accepted Answer

1. There are 4 tiles in the bag, and 2 of them (red and yellow) are favorable. Thus, the probability of drawing a red or yellow tile is  
   $$
   \frac{2}{4} = \frac{1}{2}.
   $$

2. A cube has 6 faces, and 3 of them (1, 2, and 3) are favorable. Thus, the probability of rolling a number between 1 and 3 is  
   $$
   \frac{3}{6} = \frac{1}{2}.
   $$

3. Since the tile selection and cube roll are independent events, the combined probability is the product of the two probabilities:  
   $$
   \frac{1}{2} \times \frac{1}{2} = \frac{1}{4}.
   $$

4. Converted to a percentage, the probability is  
   $$
   \frac{1}{4} \times 100\% = 25\%.
   $$

Thus, the answer is $$25\%$$.
The probability is 25%.

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