Help, so You pick a card at random. Without putting the first card back, you pick a second card at random. There are 3 cards, a 5 a 6 and a 7 What is the probability of picking a 5 and then picking a 6?

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 .