Advertisements
Advertisements
Question
Two cards are drawn from a pack of 52 cards. Find the probability that both are face cards.
Advertisements
Solution
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)`
APPEARS IN
RELATED QUESTIONS
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 Sum of the numbers on the upper face is at least 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.
A fair die is thrown two times. Find the chance that both the times die shows same number (doublet).
Two cards are drawn from a pack of 52 cards. Find the probability that both are diamonds.
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 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.
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 vowels are always together.
The letters of the word LOGARITHM are arranged at random. Find the probability that vowels are never together.
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 start with vowel and end with ends with consonant.
The letters of the word SAVITA are arranged at random. Find the probability that vowels are always together.
