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Probability of Choosing a Red T-Shirt from a Selection of Silk-Screened Designs

Calculate the probability of selecting a red T-shirt from a collection of silk-screened designs. The example demonstrates how to find the theoretical probability using the number of favorable outcomes and total number of T-shirts.

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Probability of Choosing a Red T-Shirt from a Selection of Silk-Screened Designs

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  1. You and your friends designed T-shirts with silk screened emblems, and you are selling the T-shirts to raise money. The table below shows the number of T-shirts you have in each design. A student chooses a T-shirt at random. What is the probability that the student chooses a red T-shirt? EXAMPLE 2 Find a theoretical probability T-shirts

  2. Number of favorable outcomes P(red T-shirt) = Total number of outcomes Number of red T-shirts = Total number of T-shirts = 12 2 = 30 5 EXAMPLE 2 Find a theoretical probability SOLUTION You and your friends have a total of 10 + 6 + 8 + 6 = 30 T-shirts. So, there are 30 possible outcomes. Of all the T-shirts, 12 T-shirts are red. There are 12 favorable outcomes.

  3. 8 ANSWER 15 for Example 2 GUIDED PRACTICE 2. T-shirts: In Example 2,what is the probability that the student chooses a T-shirt with a gold emblem?

  4. 1 ANSWER 12 for Example 2 GUIDED PRACTICE 3. You toss a coin and roll a number cube. What is the probability that the coin shows tails and the number cube shows 4?

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