Probability - Dice and Cards

[depmuts]

I have having a lot of trouble with this question, any help would be appreciated.

The Aces and Kings are removed from a standard deck of playing cards and then the following little game is played. Pick a card from the well-shuffled, reduced deck and then roll a pair of dice.
Find the probability that:

a) the face value of the selected card matches that of the sum obtained on the dice (assume that Jacks and Queens have values of 11 and 12 respectively.)
b) the card value is 10 or the dice value is 10. Are the events here mutually excluive? Independent?

Thanks

 

[galactus]

After you take out the Kings and Aces there are 44 cards left. 11 cards with 4 suits each.

No matter what you roll on the dice the proability of the card matching is going to be 1/11.

Suppose you roll a 5, then the probability of drawing a 5 is 1/11. Suppose you roll an 11, then the probability of drawing a Jack is 1/11. And so on.

As for a card of 10 OR a roll of 10. Since these can happen at the same time they are not mutually exclusive.

(3/36)+(1/11)-(1/11)(3/36)=1/6.