Cards Problem

[prtyldy79]

I really need help with this problem....

A card is dealt from a well-shuffled deck of 52 cards. Find the probability being dealt each of the following (count ace as high).

a. above 6 and below a Jack
b. either above 8 or below 3
c. a club or at least a Queen
d. an 8 and a heart
e. below a 4 or black

I don't really know how to start the problem, Im not that great at solving probabilities, hence the need for help. Any help would be great...

 

[pka]

There are 16 cards above a six and below a jack.
Now you tell us the answer to part a.

There are 24 cards above eight and 4 cards below three.
What is the answer to part b?

 

[prtyldy79]

A) 16/52 = 4/13

B) 28/52= 7/13

Is this right......?

 

[pka]

A) 16/52 = 4/13
B) 28/52= 7/13

RIGHT!

Now you tell us how many cards fit each of the:
c. a club or at least a Queen
d. an 8 and a heart
e. below a 4 or black

 

[prtyldy79]

Here's what i came up with:

C) There are 13 clubs total and 9 other cards that are at least a Queen, so is the answer: 22/52=11/26

D) There are three 8's and 13 (counting the 8 of hearts) hearts total in a deck
my answer came to: 17/52

E) There are 13+13 black cards (counting the cards below 4) and 4 cards below 4, so is the answer 30/52= 15/26

Let me know...thanks again for the help/assistance

 

[pka]

You did a really great job on C & E!

But on D the operative word is and.
The answer is 1/52.
Can you explain why?

 

[prtyldy79]

The answer is that there is only one card that is an 8 and a heart.....I didn't pay attention to the and, that really makes a big difference....

Thanks for all of your help....
I have one more question posted, hopefully someone can help me answer it....im stumped...