Given:
There are 3 cards, a 5 a 6 and a 7.
You pick a card at random. Without putting the first card back, you pick a second card at random.
To find:
The probability of picking a 5 and then picking a 6.
Solution:
We have,
Total number of cards = 3
Number of card of 5 = 1
So, probability of getting a card of 5 is:


After this selection, the remaining number of cards is 2. So, probability of getting a card of 6 in second draw is:


Now, the probability of picking a 5 and then picking a 6 is



Therefore, the probability of picking a 5 and then picking a 6 is
.