Math 125 finite and modeling

Question

Draw a single card from a standard deck.

What is the probability of getting an Odd-numbered card or a Heart?

Answer 1

odd numbered cards are 3,5,7 and 9. in 4 suits. 4x4=16

hearts that aren'ts odd numbered are A,2,4,6,8,10,J,Q,K = 9 cards

16+9 =25

25/52 = the chance of an odd numbered card or a heart

that assumes no jokers in the deck and Aces are not numbered cards

Answer 2

Be careful here: the events required are not independent.

Also you need to be clear whether an Ace counts as an odd numbered card.

If Aces are NOT counted as odd numbered, then there are 4 odd numbered cards in each suit, total 16.

Then there are 9 hearts which are NOT odd numbered.

Therefore, the required probability is 25/52.