The answer depends on whether or not the first card is replaced before the second is drawn.
It is 0.2549, approx.
There are 52 cards of which 26 (a half) are black. So he probability that the first card is black is 26/52= 1/2
The probability that the first card is a jack is 4 in 52. The probability that the second card is 1 ten is 4 in 51. Since these are sequential events, simply multiply, giving (4/52)(4/51) or (16/2652) or about 0.00603.
7/26
A Black Jack is an Ace and a face card (Ten through King). The probability of drawing a Black Jack as the first two cards from a standard deck is 4 in 52 times 16 in 51, which is 0.0241 (Ace First), or 16 in 52 times 4 in 51, which is also 0.0241 (Ace Second).
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?
It is 0.2549, approx.
There are 52 cards of which 26 (a half) are black. So he probability that the first card is black is 26/52= 1/2
They are independent, because the probability of the first event does not affect the probability of the second event.
"Neither card is red" is the same as "both cards are black". The probability that the first card is black is 26 out of 52, or 1/2. Given that the first card is black, there are 51 cards remaining, of which 25 are black; thus the conditional probability that the second card is also black is 25/51. The probability that both cards are black is the product of these two probabilities: 1/2 * 25/51 = 25/102, or about 24.51%.
It is 156/663 = 0.2353, approx.
It is 3/13. The fact that the card is black makes no difference since the probability is the same for both colours.
The probability that the first card is a jack is 4 in 52. The probability that the second card is 1 ten is 4 in 51. Since these are sequential events, simply multiply, giving (4/52)(4/51) or (16/2652) or about 0.00603.
7/26
A Black Jack is an Ace and a face card (Ten through King). The probability of drawing a Black Jack as the first two cards from a standard deck is 4 in 52 times 16 in 51, which is 0.0241 (Ace First), or 16 in 52 times 4 in 51, which is also 0.0241 (Ace Second).
There are 6 black face card in a deck of 52 cards, so the probability of getting a black face card is 6/52 = 3/26
The probability of getting a red card out of a standard 52 card deck is 26 in 52, or 0.5. The probability of getting a second red card is 25 in 51, or 0.490, because one red card is missing, and the deck is short by one card. The probability of getting a black card next is 26 in 50, or 0.52, because the deck is short by two cards, but all the black cards are there. Multiply these probabilities together, and you get about 0.127, or about 1 in 8, so the probability of getting 2 red cards and then a black card in a random 52 card deck is about 1 in 8.