What is the probability that all four cards are hearts?

What is the probability that all four cards are hearts?

Pretend the deck only has 4 cards: 1 heart, 1 diamond, 1 spade, 1 club. There are 4 * 4 * 4 * 4 = 256 possible hands. Only 1 of these hands has all 4 hearts. So it’s 1/256.

What is the probability that all four aces will be received by the same player?

First choose one of the players – there are 4 ways to do this. Then the probability that this player gets all four aces is the probability that 13 cards chosen at random from 52 contain four aces, which is (489)(5213). The required answer is therefore 4(489)(5213), which is equivalent to the vadim123’s answer.

What is the probability of drawing a black card in a standard deck of 52 cards?

26/52

What is the probability of drawing a black card or a face card?

5. A card that is a black face card is drawn. There are 6 black face cards, so the probability is 6/52 = 3/26.

What is the probability of drawing a face card?

What is the probability that the card is either a black card or a 2?

So, number of black cards or kings = n (b union k) = n (b) + n (k) – n (b intersect k) = 26 + 4 – 2 = 28. Therefore, probability of drawing a black card or a king = n (b union k) / n (S) = 28 / 52 = 7 / 13 ≈ 0.53846. Two cards are drawn from a well-shuffled pack of cards.

What is the probability of drawing a red card?

The probability that you draw a red card is 26/52 or 1/2, since half the cards in the deck are red. Since you replace the card, the probabiity that you draw a heart is 13/52 or 1/4, since a quarter of the cards are hearts. Since you want to know the probability of BOTH events happening, you multiply the two.

What is the probability of getting neither a heart nor a king?

King, queen ,and jack are called face cards. Total number of face cards are 12. Probability = Number of favourable outcomes/ Total number of outcomes. Required probability = P(neither an ace nor a king) = 44/52= 11/13.

What is the probability that both cards are aces?

WITHOUT REPLACEMENT: If you draw two cards from the deck without replacement, what is the probability that they will both be aces? P(AA) = (4/52)(3/51) = 1/221.

What is the probability of drawing two aces with replacement?

probability of receiving any two aces given one has risen to 6 /(6 +192) = 1/ 33. objects taken n at a time.

What is the probability the second card is an Ace?

For any given position n in the deck (here n=2, meaning the second card,) if the deck is shuffled then the probability that the card in position n is an ace is 4/52=1/13, because 4 out of the 52 cards in the deck are aces.