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Playing Card Probabilities?
I'm doing a project for Statistics and one of the questions is if you have a standard deck of playing cards and you draw 8, what is the probability that exactly 4 will be red? I'm assuming the order drawn doesn't matter. I think it's 0.5 but I feel like it should be more complex than that.
2 Answers
- Anonymous5 years ago
Right, order doesn't matter. You need to count the hands that work and the total number of hands.
There are 26C4 ways to draw the 4 red X 26C4 ways to draw the remaining 4 cards. You divide that by 52C8, the number of ways to draw all 8 cards, regardless of the number of red cards.
I used Excel to work that out. It's 14950 x 14950 / 752538150 = 0.296998232
