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What is the probability of getting a red card and a queen from a pack of well shuffled playing cards?
Wiki User
∙ 13y ago
Assuming we're drawing two cards, one of which is red and the other is a queen...
There are 26 reds/52 = 1/2 chance of red
If the first card is not a queen (12/13 chance), the odds of next drawing a queen is 4/51. Total probability is (1/2)(4/51) = 2/51.
If the first card was a queen (1/13 chance), the odds of getting another queen is 3/51, for a total of 3/102.
Weighted average the two (12/13)*(2/51) + (1/13)*(3/102) = 3.85%
Could also do it in reverse order
Queen first - 1/13
If first card was red, chance of another red is 25/51. Total probability of 25/13*51.
If first card was black, chance of red is 26/51. Total probability of 26/13*51=2/51.
Average the two (25/26*52 + 2/102) = 3.81%
Add up the probabilities - 7.66% chance
Wiki User
∙ 13y ago
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