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you pick a card at random. what is p(not 7)? write your answer as a per…

Question

you pick a card at random.
what is p(not 7)?
write your answer as a percentage rounded to the nearest tenth.
%

Explanation:

Step1: Calculate total number of cards

There are \(5\) cards in total.

Step2: Calculate number of cards that are not \(7\)

There are \(4\) cards (\(5\), \(6\), \(8\), \(9\)) that are not \(7\).

Step3: Calculate probability as a fraction

The probability \(P(\text{not }7)=\frac{\text{Number of non - 7 cards}}{\text{Total number of cards}}=\frac{4}{5}\)

Step4: Convert fraction to percentage

\(\frac{4}{5}=0.8 = 80.0\%\)

Answer:

\(80.0\%\)