Question

You pick a card at random. Without putting the first card back, you pick a second card at random. 1 2 3 4 What is the probability of picking a 1 and then picking a 4?

Answer 1

1/12 = 0.0833 = 8.33% probability of picking a 1 and then picking a 4

Explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Picking a 1:

There are 4 cards, one of which is a 1.

So 1/4 probability of picking a 1.

Picking a 4:

Now we suppose a 1 was picked.

It was not replaced. So there are 3 cards, one of which is 4.

So 1/3 probability of picking a 4

What is the probability of picking a 1 and then picking a 4?

(1/4)*(1/3) = 1/12

1/12 = 0.0833 = 8.33% probability of picking a 1 and then picking a 4