Questions: The table shows the number of video games sold worldwide for the five highest-selling video games in 2010. Assuming this trend continues and that the total sales of all other video games is negligible, if a person chooses to purchase one of these video games, determine the empirical probability that the person will purchase a) Game 2 b) Game 5 c) Game 1. Game Games Sold Game 1 18,480,000 Game 2 17,880,000 Game 3 11,900,000 Game 4 11,060,000 Game 5 8,470,000 Total 67,790,000 a) P(Game 2) = (Type an integer or a simplified fraction.)

$The table shows the number of video games sold worldwide for the five highest-selling video games in 2010. Assuming this trend continues and that the total sales of all other video games is negligible, if a person chooses to purchase one of these video games, determine the empirical probability that the person will purchase a) Game 2 b) Game 5 c) Game 1. Game Games Sold Game 1 18,480,000 Game 2 17,880,000 Game 3 11,900,000 Game 4 11,060,000 Game 5 8,470,000 Total 67,790,000 a) P(Game 2) = (Type an integer or a simplified fraction.)$

Transcript text: The table shows the number of video games sold worldwide for the five highest-selling video games in 2010. Assuming this trend continues and that the total sales of all other video games is negligible, if a person chooses to purchase one of these video games, determine the empirical probability that the person will purchase a) Game 2 b) Game 5 c) Game 1. \begin{tabular}{|l|r|} \hline Game & Games Sold \\ \hline Game 1 & $18,480,000$ \\ \hline Game 2 & $17,880,000$ \\ \hline Game 3 & $11,900,000$ \\ \hline Game 4 & $11,060,000$ \\ \hline Game 5 & $8,470,000$ \\ \hline Total & $67,790,000$ \\ \hline \end{tabular} a) $P($ Game 2$)=$ $\square$ (Type an integer or a simplified fraction.)

Solution

Solution Steps

Step 1: Calculation of Total Sales

To verify the total sales, we sum the sales of the top five games: \[S_{total} = S_1 + S_2 + S_3 + S_4 + S_5 = 18480000 + 17880000 + 11900000 + 11060000 + 8470000 = 67790000\] Given total sales, $S_{total}$, is 67790000, which matches our calculation.

Step 2: Calculation of Empirical Probability

The empirical probability of purchasing the specific game is calculated as: \[P(S_{game}) = \frac{S_{game}}{S_{total}} = \frac{17880000}{67790000} = 0.26\]

Final Answer:

The empirical probability that a person will purchase the specific game, rounded to 2 decimal places, is 0.26.

Step 1: Calculation of Total Sales

Step 2: Calculation of Empirical Probability

The empirical probability of purchasing the specific game is calculated as: \[P(S_{game}) = \frac{S_{game}}{S_{total}} = \frac{8470000}{67790000} = 0.12\]

Final Answer:

The empirical probability that a person will purchase the specific game, rounded to 2 decimal places, is 0.12.

Step 1: Calculation of Total Sales

Step 2: Calculation of Empirical Probability

The empirical probability of purchasing the specific game is calculated as: \[P(S_{game}) = \frac{S_{game}}{S_{total}} = \frac{18480000}{67790000} = 0.27\]

Final Answer:

The empirical probability that a person will purchase the specific game, rounded to 2 decimal places, is 0.27.

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