1. ## Probability questions

How many even four digit numbers can be written if the digits can not be repeated?

I was thinking 8x7x6x4 = 1344 but I'm not sure

What is the probability of writing a four digit number without any digits repeating if the numbers are drawn ramdomly?

9x8x7x6=3024 would be the number of four digits without repeating I guess...

2. Without allowing leading zero (0962), there are $9\cdot 8\cdot 7$ four-digit ending in zero hence even.
There are $8\cdot 8\cdot 7\cdot 4$ even four-digit even numbers not ending in zero.

3. There were 2 separate questions:

1.How many even four digit numbers can be written if the digits can not be repeated?

2.What is the probability of writing a four digit number without any digits repeating if the numbers are drawn ramdomly?

Still confused.

4. Originally Posted by terminator
There were 2 separate questions:

1.How many even four digit numbers can be written if the digits can not be repeated?

2.What is the probability of writing a four digit number without any digits repeating if the numbers are drawn ramdomly?
Still confused.
I do not understand you. I gave you the answer.

There are $9\cdot 8\cdot 7+8\cdot 8\cdot 7\cdot 4=2296$ even four digit even numbers with no repeated digits..

There are $9\cdot 9\cdot 8\cdot 7=4536$ four-digits numbers with no repeated digits.

5. 4536 is not a probability... 0.something or % maybe?

6. Originally Posted by terminator
4536 is not a probability... 0.something or % maybe?
Plato is well aware that 4536 is not a probability. You weren't given the final answer, you were given some help on how to get the final answer. You are expected to think about the hint and then try and get the final answer yourself. If you are still stuck, you show what you could do and you say where you are stuck.

7. Originally Posted by terminator
4536 is not a probability... 0.something or % maybe?
This is said with absolutely no disrespect intended: just the truth.
You have absolutely no idea what is going in with this question.
Your profound misunderstanding cannot be addressed in a forum such as this.
Please seek out a sit-down with a live tutor.

8. Make sense. Thanks.