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 picking 4 first

There are 3 cards initially. The probability of picking a 4 on the first - draw is $\frac{1}{3}$.

Step2: Calculate probability of picking 5 second

After picking a 4 on the first draw (without replacement), there are 2 cards left. The probability of picking a 5 on the second draw is $\frac{1}{2}$.

Step3: Calculate combined probability

Since these are independent - like (in the sense of sequential) events, we multiply the probabilities of each event. So the probability of picking a 4 and then a 5 is $\frac{1}{3}\times\frac{1}{2}=\frac{1}{6}$.

Answer:

$\frac{1}{6}$