Consider the experiment of drawing two cards without replacement from an ordinary deck of 52 playing cards. What are the odds against drawing two kings?
i don't know for sure but i think it is 1/52
hope this helps....
The probability of drawing two kings in a row is (4/52)x(3/51)= (1/13)x(1/17) = 1/221
You could call that 220:1 odds for it to happen.
Thanks. That helps me understand it a lot more!
To determine the odds against drawing two kings from a deck of 52 playing cards, we first need to calculate the probability of drawing two kings.
Step 1: Calculate the probability of drawing the first king:
Since there are 4 kings in a deck of 52 cards, the probability of drawing a king as the first card is 4/52.
Step 2: Calculate the probability of drawing the second king (without replacement):
After the first king is drawn, there will be 51 cards remaining in the deck, including 3 kings. So the probability of drawing a king as the second card, without replacement, is 3/51.
Step 3: Calculate the probability of drawing two kings:
To calculate the probability of both events happening (drawing a king as the first card and drawing a king as the second card), we multiply the probabilities from steps 1 and 2 together:
(4/52) * (3/51) = 12/2652 = 1/221
Now that we have the probability of drawing two kings, we can calculate the odds against it. The odds against an event are found by dividing the probability of the event not occurring by the probability of the event occurring.
Step 4: Calculate the probability of not drawing two kings:
The probability of not drawing two kings is 1 - (1/221) = 220/221.
Step 5: Calculate the odds against drawing two kings:
To find the odds against drawing two kings, divide the probability of not drawing two kings by the probability of drawing two kings:
(220/221) / (1/221) = 220.
Therefore, the odds against drawing two kings from a deck of 52 playing cards are 220 to 1.