English

A Card is Drawn at Random from a Well-shuffled Deck of Playing Cards. Find The Probability that the Card Drawn Is Neither a Jack Nor a King. - Mathematics

Advertisements
Advertisements

Question

A card is drawn at random from a well-shuffled deck of playing cards. Find the probability that the card drawn is neither a jack nor a king.

Solution

Let S be the sample space of drawing a card from a well-shuffled deck.

`n(S)=""^52C_1=52`

There are 4 jack and 4 king cards in a deck.

So there are 52 -8 = 44 cards which are neither jacks nor kings.

A card which is neither a jack nor a king can be drawn in `""^44C_1=44`

Probability of drawing a card which is neither a jack nor a king=44/52=11/13

shaalaa.com
  Is there an error in this question or solution?
2014-2015 (March) All India Set 3

RELATED QUESTIONS

In a single throw of a pair of different dice, what is the probability of getting a total of 9 or 11?


Two different dice are tossed together. Find the probability :

1) of getting a doublet

2) of getting a sum 10, of the numbers on the two dice.


All the red face cards are removed from a pack of 52 playing cards. A card is drawn at random from the remaining cards, after reshuffling them. Find the probability that the drawn card is a queen.


Two different dice are rolled simultaneously. Find the probability that the sum of numbers appearing on the two dice is 10 ?


A box contains 80 discs which are numbered from 1 to 80. If one disc is drawn at random from the box, find the probability that it bears a perfect square number.


A bag contains 3 red balls and 5 black balls. A ball is draw at random from the bag. What is the probability that the ball drawn is red? 


Five cards − the ten, jack, queen, king and ace of diamonds, are well-shuffled with their face downwards. One card is then picked up at random. 

What is the probability that the card is the queen?


A piggy bank contains hundred 50 paise coins, fifity ₹1 coins, twenty ₹2 coins and ten ₹5 coins. If it is equally likely that one of the coins will fall out when the bank is turned upside down, find the probability that the coin which fell  will be of value more than ₹1


All the black face cards are removed from a pack of 52 cards. The remaining cards are well shuffled and then a card is drawn at random. Find the probability of getting black card  


Aarushi sold 100 lottery tickets in which 5 tickets carry prizes. If Priya purchased a ticket, what is the probability of Priya winning a prize?


In a single throw of a pair of dice, the probability of getting the sum a perfect square is


Two numbers 'a' and 'b' are selected successively without replacement in that order from the integers 1 to 10. The probability that\[\frac{a}{b}\] is an integer, is


What is the probability that a leap year has 52 Mondays? 


Cards numbered 1 to 30 are put in a bag. A card is drawn at random from the bag. Find the probability that the number on the drawn card is not divisible by 3,


Cards numbered 1 to 30 are put in a bag. A card is drawn at random from the bag. Find the probability that the number on the drawn card is not a perfect square number.


A group consists of 12 persons, of which 3 are extremely patient, other 6 are extremely honest and rest are extremely kind. A person from the group is selected at random. Assuming that each person is equally likely to be selected, find the probability of selecting a person who is 

  1. extremely patient,
  2. extremely kind or honest.

    Which of the above values you prefer more?

Ram put some buttons on the table. There were 4 blue, 7 red, 3 black and 6 white buttons in all. All of a sudden, a cat jumped on the table and knocked out one button on the floor. What is the probability that the button on the floor is blue?


Rohan and Shalu are playing with 5 cards as shown in the figure. What is the probability of Rohan picking a card without seeing, that has the number 2 on it?


An experiment whose outcomes cannot be predicted exactly in advance is called a ______ experiment.


A bag contains 25 cards, numbered through 1 to 25. A card is drawn at random. What is the probability that the number on the card drawn is a perfect square?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×