A standard deck of playing cards has 4 suits of 13 different cards. If an additional suit is added would it change the odds and by how much 20% or 25%, or other.

Question

A standard deck of playing cards 52 cards, has 4 suits of 13 cards, each. I want to add an additional suit, for a game I’m trying to add a progressive to. If an additional suit is added would it change the odds so the odds of getting 1 individual card is 52-1. So, if another suit is added mirroring the others suits, or another 13 cards is added. Let’s say the new suit, is stars, there’s 5 total now; Stars, Diamonds, Hearts, Clubs, Spades. I believe the odds would all change, but would it be uniform? If the odds change, by how much, So, now if there’s 65 cards in a deck so five suits and 13 cards in each, it be 65-1 to draw a particular suited card but 5 chances out of 65 to pull one card out of the 5 suited cards. So can anyone break this down for me? What are the new odds? Each particular odds how much do the overall odds change? Is it by 20% or 25%? Now I have gamimg experience but not with statistics.

Answer 1

I don't quite understand the question, but here's my two cents:

Suppose you have the original deck of 52 cards. Let's use hearts. The probability of choosing getting a hearts in one draw is 13/52 or 1/4.

Now, if we add the "stars" suit, we have 65 cards. The probability of getting a hearts in this case is 13/65 or 1/5.

So, using the (new-old)/old approach, we find that the new odds of getting a heart change by (1/5-1/4)/1/4 = -0.2 or -20%.

Hope this helps.

- Amaan.