you pick a card at random. what is p(even)?

Explanation:

Step1: Count total number of cards

There are 6 cards in total.

Step2: Count number of even - numbered cards

The even - numbered cards are 4, 6, 8. So there are 3 even - numbered cards.

Step3: Calculate probability

The probability formula is $P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Here, the number of favorable outcomes (even - numbered cards) is 3 and the total number of outcomes (total cards) is 6. So $P(\text{even})=\frac{3}{6}=\frac{1}{2}$.

Answer:

$\frac{1}{2}$