Answer:

Probability of Cards

P = FO/TO

where:

P = Probability

FO = Favored Outcome

TO = Total Outcome

All the values in a Deck of 52 playing cards:

• 13 pcs Hearts = A 2 3 4 5 6 7 8 9 10 J Q K
• 13 pcs Diamond = A 2 3 4 5 6 7 8 9 10 J Q K
• 13 pcs Club = A 2 3 4 5 6 7 8 9 10 J Q K
• 13 pcs Spade = A 2 3 4 5 6 7 8 9 10 J Q K

One of the condition in the question asked that the card drawn needs to be a diamond suit. It did not say what value of diamond, so for this we need to say that it can be any of the value in the diamond suit.

So we count the diamond cards, and there are:

13 pcs Diamond = A 2 3 4 5 6 7 8 9 10 J Q K

The next condition, the card needs to be a Queen.

Count all or remaining Queen cards, so there are 3 remaining:

• Q of Hearts
• Q of Club
• Q of Spade

Note: we must not count Q of Diamond anymore, since we already counted it in the 13 pcs Diamond suit.

So now we can say that the Favored Outcome is 13 diamonds + 3 Queens = 16 cards

so our FO = 16

now the Probability is:

P = FO/TO

P = 16/52 = 4/13

P = 4/13

Do the same concept for question #2.

and you will get same answer P = 4/13

With these concept of solving playing cards, without memorizing complicated formulas, you can easily come up with a solution!

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