Advertisements
Advertisements
प्रश्न
Two cards are drawn from a pack of 52 cards. Find the probability that both are face cards.
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)`
APPEARS IN
संबंधित प्रश्न
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 sum of the numbers on the upper face is 4.
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 black.
Two cards are drawn from a pack of 52 cards. Find the probability that both are diamonds.
Two cards are drawn from a pack of 52 cards. Find the probability that both are from same suit.
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 all the cards are from different suit.
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?
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 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 Begins with O and ends with T.
