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

you pick a card at random. without putting the first card back, you pick a second card at random. what is the probability of picking a 4 and then picking a 5? 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. what is the probability of picking a 4 and then picking a 5? write your answer as a fraction or whole number.

Answer

Answer:

$\frac{1}{6}$

Explanation:

Step1: Probability of picking 4 first

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

Step2: Probability of picking 5 second

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

Step3: Calculate combined probability

Since these are dependent events, we multiply the probabilities of each event. So the probability of picking a 4 and then a 5 is $\frac{1}{3}\times\frac{1}{2}=\frac{1}{6}$.