Probability: You choose 3 of ten cards (A-10) at random. Find prob. that 5 is lowest.

[Rakesh1234]

You have 10 playing cards - the ace (one) to 10 of hearts, inclusive. You choose 3 of these cards at random. What is the probability that the lowest numbered card in these three is the 5?

 

[Deleted member 4993]

You have 10 playing cards - the ace (one) to 10 of hearts, inclusive. You choose 3 of these cards at random. What is the probability that the lowest numbered card in these three is the 5?

What are your thoughts?
Please share your work with us ...even if you know it is wrong.
If you are stuck at the beginning tell us and we'll start with the definitions.
You need to read the rules of this forum. Please read the post titled "Read before Posting" at the following URL:
http://www.freemathhelp.com/forum/announcement.php?f=33

 

[Dr.Peterson]

You have 10 playing cards - the ace (one) to 10 of hearts, inclusive. You choose 3 of these cards at random. What is the probability that the lowest numbered card in these three is the 5?

You might start by thinking about the definition of probability. How many way are there to choose 3 cards? How many of them consist only of the 5, 6, 7, 8, 9, and 10?