Question

Another problem that had got me stupd. Hope you can understand it

Using a deck of cards and picking 12 out to work with.
1. Hearts Ace
2. Diamond King
3. Club 2
4. Heart 7
5. Spade Queen
6. Spade 4
7. Diamond 4
8. Club 8
9. Heart Kind
10. Spade 2
11. Heart 5
12. Club 9

Questions:
A. Find expermental probability of picking a face card
B. Find experimental probability of picking a heart
C.What theoretical probabililty of picking a face card, replacing it, and then picking another face card
DWhat is the theorical probabiliity of picking a hear, not replacing it, then picki

Answer 1

Out of the deck you pick out specifically these 12 cards to work with. In the 12 cards
A. what is the P (Face Card)? = 4/12 = 1/3
B what is the P( Heart) = 4/12 = 1/3
C. Probability of (Face Card replacing and Face) = (16/52) * (16/52) = 16/169
D. What is P( Heart not replacing Heart) = (13/52) * (12/51) = 1/17

Answer 2

Theoretical probability will be with the whole deck.
Your experiment is just among the 12 cards you picked to work with

Answer 3

Oh, that explains it. So on C we are doing a whole deck and not just the 12.

Answer 4

How did you get D. I don't understand

Answer 5

D there are 13 hearts cards so P of getting one is 13/52 for first draw.

Second draw you are not replacing the first one. So only 12 are left and only 51 total cards left. So picking a heart now will have a prob. = 12/51.

The combined probability will be 13 * 12 / 52 * 51 = you simplify you get 1/17

Answer 6

I got it. Now I have to still write. the diffenence between c and D to show dependent events and independent events. Any ideas. then write a compund problem using dependent events involving standard deck of cards and then solve along with a independent problem.

Answer 7

Thank you for your help. Have a good day!