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The probability of drawing a king is 4:52The probability of drawing a diamond is 13:52 (or 1:4)The probability of drawing a king (0.07692...) then replacing that king into the deck then drawing a diamond is 0.019230769.If you leave the king out, the probability will be slightly greater (4/52) * (13/51)Unless the king you left out of the deck was a king of diamonds, in which case, the probability would be (4/52) * (12/51)
Probability of getting a King is 4/52 = 1/13. Having drawn the King, for it to be a Red King, the probability is 2/4 = 1/2. Hence the conditional probability is (1/13)x(1/2) = 1/26
The probability of drawing a queen or king, in a single randomly drawn card, is 2/13. The probability of drawing one when you draw 45 cards without replacement is 1. The probability of choosing has nothing t do with the probability of drawing the card. I can choose a king but fail to find one!
This problem is the type of the probability of A and the probability of B. These events are independent. P(A) and P(B) = P(A) * P(B). In this case these two probabilities are equal; the probability of a king is 4/52. So, the probability of draw king, replace and draw king is 4/52 * 4/52 = 0.00592.
There are 4 kings and 4 queens in a deck of 52 cards. The chance of drawing a king is 4 in 52 (or .077 in probability terms). The probability to draw either a king or a queen will be twice as high (.154)