you pick a card at random. without putting the first card back, you pick a second card at random.\nwhat is…

Explanation:

Step1: Calculate probability of first - pick

There are 3 odd numbers (1, 3, 5) out of 6 cards. So the probability of picking an odd - numbered card first is $\frac{3}{6}$.

Step2: Calculate probability of second - pick

After picking an odd - numbered card first (without replacement), there are 5 cards left. There are 3 even numbers (2, 4, 6), so the probability of picking an even - numbered card second is $\frac{3}{5}$.

Step3: Calculate combined probability

Since these are independent events in the sense of the multiplication rule for dependent events, we multiply the probabilities of the two events. So the probability of picking an odd number and then an even number is $\frac{3}{6}\times\frac{3}{5}=\frac{9}{30}=\frac{3}{10}$.

Answer:

$\frac{3}{10}$