## zarkam21 one year ago You have a 3-card deck containing a king, a queen, and a jack. You pick a card, put it back, and pick another. What is the probability that you do not pick the same card twice?

1. welshfella

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2. welshfella

use this tree diagram there are 9 possible paths you need to count the paths containing no duplicats

3. zarkam21

1/3?

4. welshfella

no Thats the probabilty of picking the same card twice

5. welshfella

you need JQ , JK etc

6. zarkam21

okay for example JQ would be 2/3?

7. zarkam21

I'm little confused

8. welshfella

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9. welshfella

- you need the paths in blue

10. zarkam21

In Blue?

11. welshfella

well different color

12. zarkam21

so jqk, qjk, and kjq

13. welshfella

JQ JK etc

14. welshfella

yes

15. welshfella

16. zarkam21

2/3?

17. welshfella

there are 6 of these out of a possible 9

18. welshfella

right do you follow it now?

19. zarkam21

6/9 which reduces to 2/3 :]

20. welshfella

yea

21. zarkam21

Is that the answer to the problem, 2/3?

22. welshfella

yes

23. zarkam21

Thank you =]

24. welshfella

do you understand the tree diagram?

25. welshfella

yw

26. zarkam21

Yes, you took the main cards and listed the possible outcomes for each one

27. welshfella

thats right each path in the diagram illustrate one of the 9 possible outcomes

28. zarkam21

Yes :D Thanks Again!

29. welshfella

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