English

The king, queen and jack of clubs are removed from a deck of 52 playing cards and then well shuffled. Now one card is drawn at random from the remaining cards. Determine the probability that the - Mathematics

Advertisements
Advertisements

Question

The king, queen and jack of clubs are removed from a deck of 52 playing cards and then well shuffled. Now one card is drawn at random from the remaining cards. Determine the probability that the card is a heart.

Sum

Solution

If we remove one king, one queen and one jack of clubs from 52 cards, then the remaining cards left, n(S) = 49

Let E1 = Event of getting a heart

∴ n(E1) = 13

∴ `P(E_1) = (n(E_1))/(n(S)) = 13/49`

shaalaa.com
  Is there an error in this question or solution?
Chapter 13: Statistics and Probability - Exercise 13.3 [Page 172]

APPEARS IN

NCERT Exemplar Mathematics [English] Class 10
Chapter 13 Statistics and Probability
Exercise 13.3 | Q 28.(i) | Page 172

RELATED QUESTIONS

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 and B throw a pair of dice. If A throws 9, find B’s chance of throwing a higher number.


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


A bag contains twenty Rs 5 coins, fifty Rs 2 coins and thirty Re 1 coins. If it is equally likely that one of the coins will fall down when the bag is turned upside down, what is the probability that the coin will be a Re 1 coin?


Seven cards:- the eight, the nine, the ten, jack, queen, king and ace of diamonds are well shuffled. One card is then picked up at random. 

 If the king is drawn and put aside, what is the probability that the second card picked up is: 

  1. an ace?
  2. a king?

A box contains 90 discs which are numbered from 1 to 90. If one disc is drawn at random from the box, find the probability that it bears (i) a two-digit number, (ii) a number divisible by 5 ?


Two dice are numbered 1, 2, 3, 4, 5, 6 and 1, 1, 2, 2, 3, 3, respectively. They are thrown and the sum of the numbers on them is noted. Find the probability of getting each sum from 2 to 9 separately.


In a game, the entry fee is Rs 5. The game consists of a tossing a coin 3 times. If one or two heads show, Sweta gets her entry fee back. If she throws 3 heads, she receives double the entry fees. Otherwise she will lose. For tossing a coin three times, find the probability that she just gets her entry fee.


At a fete, cards bearing numbers 1 to 1000, one number on one card, are put in a box. Each player selects one card at random and that card is not replaced. If the selected card has a perfect square greater than 500, the player wins a prize. What is the probability that the first player wins a prize?


Assertion (A): The probability that a leap year has 53 Sundays is `2/7`.

Reason (R): The probability that a non-leap year has 53 Sundays is `5/7`.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×