You have a 4-card deck containing a queen, a jack, a 10, and a 9. You draw a random card, then put it back and draw a second random card. Use a tree diagram to calculate the probability that you draw exactly 1 "numbered" card (a 9 or a 10).
I think it is, 1/8.... but idk.. Help!

Question

You have a 4-card deck containing a queen, a jack, a 10, and a 9. You draw a random card, then put it back and draw a second random card. Use a tree diagram to calculate the probability that you draw exactly 1 "numbered" card (a 9 or a 10). 
I think it is, 1/8.... but idk.. Help!

lgbasallote · Answer

probability you'll draw a numbered card at first is 2/4 = 1/2

probability you won't draw a numbered card on the second try is 2/4 = 1/2

so your probability all in all is 1/2 x 1/2

lgbasallote · Answer

so how did you get 1/8?

anonymous · Answer

Umm i drew a tree diagram. So since he picked one but then placed it back and then grabed another one, the tree diagram will end up having 16 branches at the end.

lgbasallote · Answer

i dont know tree diagram since i just self-studied this lol..but the answer should be what i said..

anonymous · Answer

how possitive are you? :o

lgbasallote · Answer

very. but let's receive confirmation if you want. @Callisto pls help

anonymous · Answer

Yah but your statements does look precise.

anonymous · Answer

Gave you a medal. Thank you so much.

lgbasallote · Answer

welcome ^_^ but i would still like to hear confirmation from callisto to be sure :)