Advertisements
Advertisements
Question
Two cards are drawn from a pack of 52 cards. Find the probability that both are from same suit.
Solution
Two cards can be drawn from a pack of 52 cards in 52C2 ways
∴ n(S) = 52C2
Let F be the event that both the cards drawn are of the same suit.
A pack of 52 cards consists of 4 suits each containing 13 cards.
2 cards can be drawn from a suit in 13C2 ways.
A suit can be selected in 4 ways.
∴ n(F) = 13C2 × 4
∴ P(F) = `("n"("F"))/("n"("S"))`
= `(4xx""^13"C"_2)/(""^52"C"_2)`
APPEARS IN
RELATED QUESTIONS
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 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 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 diamonds.
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 a perfect square?
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 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.
