Question

you pick a card at random.
6 7 8 9
what is p(even)?
write your answer as a percentage.
%

Explanation:

Step1: Determine the total number of cards

There are \(4\) cards in total. So, \(n(\text{total}) = 4\).

Step2: Determine the number of even - numbered cards

The even - numbered cards are \(6\) and \(8\). So, \(n(\text{even})=2\).

Step3: Calculate the probability using the formula \(P(A)=\frac{n(A)}{n(S)}\)

The probability formula for an event \(A\) (here \(A\) is picking an even - numbered card) is \(P(\text{even})=\frac{n(\text{even})}{n(\text{total})}\). Substituting the values, we get \(P(\text{even})=\frac{2}{4}\).

Step4: Convert the fraction to a percentage

To convert \(\frac{2}{4}\) to a percentage, first simplify \(\frac{2}{4}=\frac{1}{2}\). Then, \(\frac{1}{2}=0.5\). Multiply by \(100\) to get the percentage: \(0.5\times100 = 50\%\).

Answer:

\(50\)