More Probability Quesions?

Question

4.What are the odds in favor of drawing a card lower than a 6 from an ordinary deck of cards? 
 _______to ______

#5. What are the odds in favor of drawing a card lower than a 7 from an ordinary deck of cards? (Assume ace is the highest face card.)

_______to ______

#6. A single card is drawn from a standard deck of cards. Find the following probabilities. A face card is a jack, queen, or king. 

P(jack | red) = ?

P(face card | queen) = ?

#7.Two cards are drawn from a standard deck of cards, and one of the two cards is noted and removed. Find the following probabilities of the second card. 

P(jack | two) = 4/51 is correct

P(spade | spade) = ?

Steve · Accepted Answer

4) Assuming Ace is highest card and we are only counting cards 2-5 since the question calls for "lower than 6" instead of "6 or lower".  There would be 4 2's, 4 3's, 4 4's, and 4'5's which is 16 cards out of 52 card deck.  16/52 simplified to 4/13.  If Ace is counted as 1 or 6 is included then it would be 20 out of 52 cards which is 5/13.  If Ace is 1 AND 6 is counted, then it would be 24 out of 52 cards which is 6/13.

5) Again, this is finding 2-6 or 7.  If it is 2-6, then the odds would be 20 cards out of 52 cards which is 5 out of 13.  If it's 2-7, then it's 6/13.

6) There are 2 red jacks out of 52 cards.  2/52 which would mean 1 out of 26 chance of getting a red jack.
There would be 12 face cards out of 52 cards.  That would be 3/13 cards.  The queen is 1/3 for face cards.  (1/3)(3/13) = 3/39 = 1/13.  So, 3 out of 13 for finding a face card and 1 out of 13 for finding a queen.

7)  If I remove a spade from the deck and then try to pull another spade, my original chances would go from 13 out of 52 to 12 out of 51.  I can't pull all thirteen spades if one is missing.

Hope that's what you're looking for.

Trending News

More Probability Quesions?

1 Answer