Question

You have a 3-card deck containing a king, a queen, and a jack. You draw a random card, then without putting it back you draw a random second card from the ones that are left. Use a tree diagram to calculate the probability that you draw exactly 1 queen

Answer 1

Can anyone help me please

Answer 2

K (1/3)
/
\ ................K (1/2)
. JQ (2/3) <
................. QJ (1/2)

So the ways to get a single king would be:
1) Get it on the first draw (1/3)
2) Get it on the second draw (2/3) * (1/2) = 2/6 = 1/3

Add these together:
1/3 + 1/3
= 2/3

Another way to think of this... there will be one card left. You want the probability that the last card is *not* a king. That's simply 2/3.

Answer 3

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