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Of the last 10 contestants on a game show, 8 won a prize. Considering this data, how many of the next 20 contestants would you expect to win a prize?

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Solution

Based on the data provided, 80% (8 out of 10) of the contestants won a prize. If this trend continues, you would expect 80% of the next 20 contestants to win a prize.

Here's how you calculate it:

  1. First, determine the percentage of winners from the provided data. This is done by dividing the number of winners (8) by the total number of contestants (10). So, 8 ÷ 10 = 0.8 or 80%.

  2. Then, apply this percentage to the number of future contestants to estimate the number of winners. This is done by multiplying the number of future contestants (20) by the percentage of winners (80% or 0.8). So, 20 x 0.8 = 16.

Therefore, you would expect about 16 of the next 20 contestants to win a prize, if the trend continues.

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