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35% of the spectators at a baseball match are New York Yankees fan and the rest are Boston Red Sox fan. 30% of the fans in both teams are females. What person of the fans are both male and Boston Red Sox fan?

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5 votes

Answer:

Explanation:

At a Baseball Match.

35% of spectators are New York Yankees fan

The rest are Boston Red Sox fan = 100 - 35% = 65%

30% of fans in both teams are females.

30% of 35% of spectators are New York Yankees fan = 0.105 females

30% of 65% of spectators are Boston Red Sox fan = 0.195 females

The number of males in New York Yankees fan = 1 - 0.105 females

= 0.895 males

The number of males in Boston Red Sox fan = 1 - 0.195 females

= 0.805 males

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