Question

You pick a card at random without putting the 1st card back you pick a second card at random what is the probability of picking a 6 and then picking a 3

Answer 1

Given:

There are four cards numbered as

`3,\text{ }4,\text{ }5,\text{ and }6.`

Required:

We have to find the probability of picking a 6 and then picking a 3.

Step-by-step explanation:

When you pick a card at random there are four possibilities.

The possibility of picking a 6 is only one.

Hence the probability of picking a 6 on the first card is

`(1)/(4)`

Since you have put back the first card so in the second card there are again four possibilities.

The possibility of picking a 3 is only one.

Hence the probability of picking a 3 on the second card is

`(1)/(4)`

Hence the probability of picking a 6 and then picking a 3 is

`(1)/(4)*(1)/(4)=(1)/(16)`

Final answer:

Hence the final answer is

`(1)/(16)`