मराठी

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

Advertisements
Advertisements

प्रश्न

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

बेरीज
Advertisements

उत्तर

Two cards can be drawn from a pack of 52 cards in 52C2 ways.
∴ n(S) = 52C2
Let C be the event that both the cards drawn are aces.
In a pack of 52 cards, there are 4 ace cards.
∴ 2 ace cards can be drawn from 4 ace cards in 4C2 ways
∴ n(C) = 4C2

∴ P(C) = `("n"("C"))/("n"("S"))`

= `(""^4"C"_2)/(""^52"C"_2)`

shaalaa.com
Elementary Properties of Probability
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 7: Probability - Exercise 7.2 [पृष्ठ १०२]

APPEARS IN

संबंधित प्रश्‍न

A fair die is thrown two times. Find the chance that product of the numbers on the upper face is 12.


A fair die is thrown two times. Find the chance that sum of the numbers on the upper face is 10.


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 both are black.


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


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 suit.


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 all cards are club and one of them a jack.


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 a perfect square?


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?


From a group of 8 boys and 5 girls, a committee of five is to be formed. Find the probability that the committee contains 3 boys and 2 girls.


From a group of 8 boys and 5 girls, a committee of five is to be formed. Find the probability that the committee contains at least 3 boys.


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 SAVITA are arranged at random. Find the probability that vowels are always together.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×