हिंदी

Two cards are drawn from a pack of 52 cards. Find the probability that both are face cards.

Advertisements
Advertisements

प्रश्न

Two cards are drawn from a pack of 52 cards. Find the probability that both are face cards.

योग
Advertisements

उत्तर

Two cards can be drawn from a pack of 52 cards in 52C2 ways.
∴ n(S) = 52C2
Let D be the event that both the cards drawn are face cards.

There are 12 face cards in a pack of 52 cards.
∴ 2 face cards can be drawn from 12 face cards in 12C2 ways
∴ n(D) = 12C2

∴ P(D) = `("n"("D"))/("n"("S"))`

= `(""^12"C"_2)/(""^52"C"_2)`

shaalaa.com
Elementary Properties of Probability
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 7: Probability - Exercise 7.2 [पृष्ठ १०२]

APPEARS IN

बालभारती Mathematics and Statistics (Commerce) Part 2 [English] Standard 11 Maharashtra State Board
अध्याय 7 Probability
Exercise 7.2 | Q 2. (d) | पृष्ठ १०२

संबंधित प्रश्न

A fair die is thrown two times. Find the chance that the first throw gives an odd number and second throw gives multiple of 3.


Two cards are drawn from a pack of 52 cards. Find the probability that one is spade and other is non-spade.


Two cards are drawn from a pack of 52 cards. Find the probability that both are from same denomination.


Four cards are drawn from a pack of 52 cards. Find the probability that 3 are king and 1 is jack.


Four cards are drawn from a pack of 52 cards. Find the probability that all the cards are from different suit.


Four cards are drawn from a pack of 52 cards. Find the probability that at least one heart.


Four cards are drawn from a pack of 52 cards. Find the probability that all cards are club and one of them a jack.


A bag contains 15 balls of three different colours: Green, Black and Yellow. A ball is drawn at random from the bag. The probability of green ball is `1/3`. The probability of yellow ball is `1/5`. What is the probability of blackball?


A box contains 75 tickets numbered 1 to 75. A ticket is drawn at random from the box. What is the probability that, number on ticket is divisible by 6?


A box contains 75 tickets numbered 1 to 75. A ticket is drawn at random from the box. What is the probability that, number on ticket is prime?


A box contains 75 tickets numbered 1 to 75. A ticket is drawn at random from the box. What is the probability that, number on ticket is divisible by 3 and 5?


A room has three sockets for lamps. From a collection of 10 light bulbs of which 6 are defective, a person selects 3 bulbs at random and puts them in socket. What is the probability that the room is lit?


The letters of the word LOGARITHM are arranged at random. Find the probability that Exactly 4 letters between G and H.


The letters of the word LOGARITHM are arranged at random. Find the probability that Begins with O and ends with T.


The letters of the word LOGARITHM are arranged at random. Find the probability that start with vowel and end with ends with consonant.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×