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Find the odds against of randomly selecting a queen from a standard check of cards

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User Uzluisf
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1 Answer

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We have to find the odds ofrandomly selecting a queen from a standard check of cards.

We can calculate the odds as the probability that the event will occur divided by the probability that the event will not occur.

In this case, we know we have 4 queens in a total of 52 cards.

Then, we have a probability of 4/52 to select a queen and (52-4)/52= 48/52 of not selecting a queen.

Then, we can calculate the odds as:


\begin{gathered} odds=(P(queen))/(P(notqueen)) \\ \\ odds=(4/52)/(48\/52)=(4)/(48)=(1)/(12) \end{gathered}

The odds are then 1:12 or 1 in 12.

Answer: the odds for selecting a queen aoe 1:12.

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User Nanestev
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