you pick a card at random. without putting the first card back, you pick a second card at random. 1 2 3 what…

you pick a card at random. without putting the first card back, you pick a second card at random. 1 2 3 what is the probability of picking a 3 and then picking an even number? write your answer as a fraction or whole number.

you pick a card at random. without putting the first card back, you pick a second card at random. 1 2 3 what is the probability of picking a 3 and then picking an even number? write your answer as a fraction or whole number.

Answer

Explanation:

Step1: Calculate probability of picking 3 first

There are 3 cards in total, and 1 card with number 3. So the probability of picking 3 first is $\frac{1}{3}$.

Step2: Calculate probability of picking an even - number second

After picking 3 first (without replacement), there are 2 cards left. Among them, there is 1 even - numbered card (number 2). So the probability of picking an even - numbered card second is $\frac{1}{2}$.

Step3: Calculate the combined probability

Since these are two dependent events, we multiply the probabilities of each event. The combined probability is $\frac{1}{3}\times\frac{1}{2}=\frac{1}{6}$.

Answer:

$\frac{1}{6}$