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

Explanation:

Step1: Count total cards

There are 8 cards in total.

Step2: Count odd - numbered cards

The odd - numbered cards are 3, 5, 7, 9, so there are 4 odd - numbered cards.

Step3: Calculate probability

The probability formula is $P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Here, $P(\text{odd})=\frac{4}{8}$.

Step4: Simplify the fraction

$\frac{4}{8}=\frac{1}{2}$.

Answer:

$\frac{1}{2}$