Home
Class 10
MATHS
The king, queen and jack of clubs are re...

The king, queen and jack of clubs are removed from a deck of 52 playing cards and then well shuffled. One card is selected from the remaining cards. Find the probability of getting i)a heart ii)a king iii)a club iv) the 10 of hearts

Text Solution

Verified by Experts

Since the king, queen and jack of clubs are removed from a deck of 52 playing cards, there-fore total number of cards left in the deck= 52-3 = 49.
Thus, the total number of elementary events = 49
P(a heart) = `(13)/(49),` as there are 13 hearts.
(ii) P(a King) =`(3)/(49),` as out of 4 kings, I king of club is removed.
`P(a Club)=(10)/(49),` as out of 13 clubs, three clubs (Kings, queen and jack) are removed.
(iv) P(the '10' of hearts) =`(1)/(49),` as there is only one '10' of hearts.
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    NAGEEN PRAKASHAN ENGLISH|Exercise Problems From NCERT /exemplar|10 Videos
  • PROBABILITY

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise|29 Videos
  • POLYNOMIALS

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise Long Answer Questions|4 Videos
  • QUADRATIC EQUATIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise Long Answer Questions|6 Videos

Similar Questions

Explore conceptually related problems

The king, queen and jack of clubs are removed from a deck of 52 playing cards and the well shuffled. One card is selected from the remaining cards. Find the probability of getting. a heart (ii) a king (iii) a club (iv) the 10 of hearts

The king, queen and jack of clubs are removed from a deck of 52 playing cards and the remaining cards are shuffled. A card is drawn from the remaining cards. Find the probability of getting a card of (i) heart (ii) queen (iii) clubs.

The king, queen and jack of clubs are removed from a deck of 52 playing cards and the remaining cards are shuffled. A card is drawn from the remaining cards. Find the probability of getting a card of (i) heart (ii) queen (iii) clubs.

A card is drawn from a deck of 52 cards. Find the probability of getting a Jack.

One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting a diamond.

A card is drawn from a well shuffled pack of cards. Find the probability of getting: (i) a card of heart (ii) a king

All the three face cards of spades are removed from a well-shuffled pack of 52 cards. A card is then drawn at random from the remaining pack. Find the probability of getting : (ii) a queen

One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting : (iii) the jack or the queen of hearts.

Red queens and black jacks 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 card drawn is (i) a king (ii) of red colour (iii) a face card (iv) a queen

One card is drawn from a well shuffled deck of 52 playing cards. What is the probability of getting a non-face card?