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Of the 42 plays attributed to a playwright, 11 are comedies, 14 are tragedies, and 17 are histories. If one play is selected at random, find the odds in favor of selecting a tragedy The odds in favor of selecting a tragedy are Simplity your answer.)

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EnigmaRiddle

Answer:

[tex]\displaystyle\frac{1}{2}[/tex]

Step-by-step explanation:

The odds in favor is the division of the number of ways the event may occur and the number of ways it cannot occur, so the formula is:

[tex]\displaystyle\frac{\text{Tragedies}}{\text{Non-tragedies}}[/tex]

There are 14 tragedies. And since there are 42 plays in total, then the non-tragedies is the result of subtracting the 14 tragedies from 42.

Therefore the odds in favor formula becomes:

[tex]=\displaystyle\frac{14}{42-14}[/tex]

[tex]=\displaystyle\frac{14}{28}[/tex]

Once we simplify we finally get:

[tex]=\displaystyle\frac{1}{2}[/tex]

The odds in favor of selecting a tragedy are:

[tex]\displaystyle\frac{1}{2}[/tex]

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