Advertisements
Advertisements
प्रश्न
Two cards are drawn from a pack of 52 cards. Find the probability that both are ace cards.
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)`
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 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 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 one is spade and other is non-spade.
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 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 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.
