Bissoy.com
Doctors Medicines MCQs Q&A

Two cards are drawn from a well shuffled pack of 52 cards. What is the probability of getting a red king and a red card without replacement?

Two cards are drawn from a well shuffled pack of 52 cards. What is the probability of getting a red king and a red card without replacement? Correct Answer 25/1326

GIVEN:

Total cards = 52

CONCEPT:

For 'and' multiplication function is applied.

FORMULA USED:

P = Number of favorable outcomes/Total number of outcomes

CALCULATION:

There are total 2 red kings and 26 red cards.

Probability of red king = 2/52

Remaining cards = 51

Remaining red cards = 25

Probability of  red card = 25/51

Required P = 2/52 × 25/51 = 25/1326

∴ The answer is 25/1326

Related Questions

The question given below consists of a statement and /or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is/are sufficient to answer the given question. A card is picked at random from a well shuffled regular pack of cards. What card is it? I. If another card is drawn without replacement, the probability that it is a red queen is not 2/51 II. If another card is drawn without replacement, the probability that it is not a diamond is 13/17
A pack of the card contains some Black cards, Red cards and Blue cards such that the probability of picking a Black card is 2/7 and the probability of picking a Red card is 1/2. If all the cards are numbered starting from 1, 2, 3, …. and so on, then what is the probability of getting one card numbered as multiple of 3 or 7 out of the total cards.
Two cards are randomly drawn from a well shuffled pack of 52 cards one after the other without replacement. What is the probability that both of them are non-face cards of different suit and different face value. (Note ∶ Only King, Queen and Jack are face cards. The face value of the card is the number displayed on the card. Ace has the face value to 1)?
Smitha's collection of 113 greeting cards include a mix of birthday cards, new year cards, Diwali cards, Christmas cards, and a marriage anniversary card. The number of birthday cards is equal to the sum of all the others except the marriage anniversary card. The number of new year's cards is double the number of Diwali cards. Which in turn is double the number of Christmas cards. Then the ratio of the birthday cards to the Christmas cards in her collection is
There are two boxes. Box I contains one white card and two black cards and Box II contains one white card and a black card. Two persons P and Q play a game. P picks a card randomly from Box I. If P finds the white card, P wins and the game stops. If P finds the black card, Q draws a card randomly from Box II. If Q finds the white card Q wins. The game stops whether Q draws the white card or P draws the white card. Which one of the following is correct?
In the following question, two statements are numbered as A and B. On solving these statements we get quantities A and B respectively. Solve for the both quantities and chose the correct option. Quantity A: From a pack of cards, two cards are drawn at random. Probability that one is a diamond and other is not a king is Quantity B: Probability that a card drawn from a pack of cards is either a jack or a heart is ..
In a deck of 52 cards, a card is picked randomly. If the card found is red, it is replaced with a black card, and vice versa. If a card is drawn after replacement, what is the probability that it will be a red card?
In a fair draw a card is drawn at random from a well shuffled pack of 52 cards. Find the probability of getting a card which is neither a club nor a black king?
From well shuffled standard pack of 52 playing cards,one card is drawn. What is the probability that it is either a red card or black card?
A bag contains 10 red cards and some yellow cards. If the probability of getting yellow cards is thrice the probability of getting a red card, then what is the number of yellow cards?