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 queen.

Answer 1

is it 3/4?

Answer 2

i got 0.375

Answer 3

it has to be in fraction form

Answer 4

3/8

Answer 5

the different ways of getting just one queen are...
Q-J,Q-10,Q-9
J-Q,10-Q,9-Q

6(0.25 X 0.25) = 0.375

Answer 6

which equals 3/8

Answer 7

I agree

Answer 8

YUP

Answer 9

thank you! @Mousam

Answer 10

do you think you could help me with another problem?

Answer 11

I'll post it

Answer 12

One more confirmation of the solution. Look at the tree, there are 16 equally likely paths. Of these, there are only 6 that have exactly one Q in the path, so probability is 6/16, using diagram alone.

Answer 13

and then you get 3/8 when reducing

Answer 14

yes