The probability of drawing a Jack on the first draw from a standard deck of cards is 4 in 52. The probability of drawing a heart on the second draw is 13 in 51 (if the Jack was not a heart) or 12 in 51 (if the Jack was a heart). Multiply these two probabilities together, and you get 52 in 2652, or about 0.01961 for the case of the Jack not being a heart, and 48 in 2651, or about 0.01811 for the case of the Jack being a heart.
The probability of drawing the first face card is 12 in 52. The probability of drawing the second is 11 in 51. The probability of drawing the third is 10 in 50. Thus, the probability of drawing three face cards is (12 in 52) times (11 in 51) times (10 in 50) or (1320 in 132600) or about 0.009955.
The probability of drawing 2 cards that are two's from a standard deck of 52 playing cards is 1 in 221. The probability of drawing the first two is 4 in 52 or 1 in 13. The probability of drawing the second two is 3 in 51. Multiply those two probabilities together and you get 3 in 663, or 1 in 221.
The answer depends on whether or not the first card is replaced before drawing the second.
There are 52 cards in the deck.The probability of drawing the ace of spades on the first draw is 1/52 .Since you don't put the first card back, there are then 51 cards in the deck.The probability of drawing the 4 of spades on the second draw is 1/51 .The probability of both occuring is (1/52) x (1/51) = 1/2,652 = 0.037707 % (rounded)
The probability of drawing three aces from a deck of cards is 1 in 5525. The probability of the first ace is 4 in 52, or 1 in 13. The second ace is 3 in 51, or 1 in 17. The third ace is 2 in 50, or 1 in 25. Multiply these three probabilities together and you get 1 in 5525.
The probability of drawing the first face card is 12 in 52. The probability of drawing the second is 11 in 51. The probability of drawing the third is 10 in 50. Thus, the probability of drawing three face cards is (12 in 52) times (11 in 51) times (10 in 50) or (1320 in 132600) or about 0.009955.
If only two cards are drawn from a standard deck of cards, with the first card replaced before drawing the second, the answer is 0.005917 (approx). If the first card is not replaced, the probability increases to 0.006033.
The probability of drawing 2 cards that are two's from a standard deck of 52 playing cards is 1 in 221. The probability of drawing the first two is 4 in 52 or 1 in 13. The probability of drawing the second two is 3 in 51. Multiply those two probabilities together and you get 3 in 663, or 1 in 221.
The answer depends on whether or not the first card is replaced before drawing the second.
There are 52 cards in the deck.The probability of drawing the ace of spades on the first draw is 1/52 .Since you don't put the first card back, there are then 51 cards in the deck.The probability of drawing the 4 of spades on the second draw is 1/51 .The probability of both occuring is (1/52) x (1/51) = 1/2,652 = 0.037707 % (rounded)
The probability of drawing a spade in a standard 52 card deck is 13 in 52, or 1 in 4. The probability of drawing a second spade, assuming the first spade was not replaced back into the deck, is 12 in 51. The probability, then, of drawing two spades is the product of those two probabilities, or 12 in 204, or 1 in 17.
The probability of drawing three aces from a deck of cards is 1 in 5525. The probability of the first ace is 4 in 52, or 1 in 13. The second ace is 3 in 51, or 1 in 17. The third ace is 2 in 50, or 1 in 25. Multiply these three probabilities together and you get 1 in 5525.
An independent probability is a probability that is not based on any other event.An example of an independent probability is a coin toss. Each toss is independent, i.e. not related to, any prior coin toss.An example of a dependent probability is the probability of drawing a second Ace from a deck of cards. The probability of the second Ace is dependent on whether or not a first Ace was drawn or not. (You can generalize this to any two cards because the sample space for the first card is 52, while the sample space for the second card is 51.)
The probability of drawing the two of hearts is 1/52. The probability of drawing two cards that are hearts depends on whether or not the first card is replaced. If it is replaced, then the probability is (1/4)*(1/4) = 1/16 = 0.0625 while if it is not, the probability is (1/4)*(12/51) = 3/51 = 0.0588 (approx).
Two cards are drawn from a pack of 52 cards second card is drawn after replacing the first card. What is the probability that the second card is a king?
No, it is the same.
The probability of drawing the first ace is 4 in 52. The probability of getting the second ace is 3 in 51. The probability of getting the third ace is 2 in 50. The probability, then, of drawing three aces is (4 in 52) times (3 in 51) times (2 in 50), which is 24 in 132600, or 1 in 5525, or about 0.0001810