SOLUTION: could someone help me with this? please We have a small deck of ten cards. Four of the cards have the number 1 on them, three cards have the number 2, two cards have the number 3

Question 677643: could someone help me with this? please
We have a small deck of ten cards. Four of the cards have the number 1 on them, three cards have the number 2, two cards have the number 3 and one card has the number 4. We will shuffle the deck and randomly select two of the cards (without replacement).
(a) The outcome of interest is the number on each of the two cards we select. List the complete sample space of outcomes.
(b) What is the probability of selecting two of the same number?
(c) What is the probability that the number on the second selected card is greater than the number on the first selected card?
(d) Let X be the minimum of the two numbers on the selected cards. Find the probability distribution of X.
(e) What is the probability that X = 2 if no 3's are selected?
(f) Find the expected value of X.
(g) Find the variance of X.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Four of the cards have the number 1 on them, three cards have the number 2, two cards have the number 3 and one card has the number 4. We will shuffle the deck and randomly select two of the cards (without replacement).
(a) The outcome of interest is the number on each of the two cards we select. List the complete sample space of outcomes.
------
Comment: The sample space has 10 ways to list the 1st number of the pair
and 9 ways to list the 2nd number of the pair. So it has 90 pairs.
I'm not go list all those but you should so you can figure out the answers
to b,c,d, etc.
------
cheers,
Stan H.
RELATED QUESTIONS
A card is selected from a standard deck of 52 playing cards. A standard deck of cards has (answered by stanbon)

A gambler is dealt the following hand from a randomly shuffled normal 52 card deck: the... (answered by stanbon)

you have been dealt 2 cards from a deck of 52 shuffled cards. there are four suits or 13... (answered by stanbon)

Drawing 3 cards from a suit of 13 cards, 1 a) probability that all three cards are not... (answered by stanbon)

A box contains 7 red cards, 2 blue cards, 3 green cards. What is the smallest number of... (answered by Alan3354)

Can you help me with this problem? Two cards are drawn from a standard deck of cards.... (answered by stanbon)

I am so stuck on this problem. Please help. This is a deck of 20 cards. You have 4... (answered by stanbon)

Please help me solve this probability problem Four cards are selected, one at a time from (answered by Boreal)

hey i will greatly appreciate it if you could help me with this probability question:... (answered by gonzo)