Question
Two cards are drawn at random from a pack of 52 cards.
What is the probability that either both are black or both are queens?Solution
N(S) = 52C2 = 1326 Let A be the event of getting two Black cards And B be the event of getting two queens And (A∩B) be the event of getting two black queens ∴ n(A) = 26C2 , n(B) =4C2 , n(A∩B) = 2C2 ∴ P(A) = 26C2/52C2 ,     P(B)= 4C2/52C2 ,   P(A∩B) = ( 2C2)/52C2 Required Probability = P(A) + P(B) - P(A∩B) = 26C2/52C2 + 4C2/52C2 - ( 2C2)/52C2 = 325/1326+ 1/221+ 1/1326 = 55/221     Â
In a purse, there are 3 two-rupee coins and 4 five-rupee coins. If you randomly select 4 coins from the purse, what is the probability that you will cho...
what is the probability that at least one of them narrates an incident truthfully.
In how many ways can the letters of the word "COMPUTER" be arranged, and what is the probability that all the vowels in these arrangements always appear...
What is the probability that the cards drawn contains 1 red card, 1 purple card and 1 yellow card?
A bag contains 12 blue balls, 18 red balls, and 20 green balls. One ball is drawn at random. Find the probability that the ball drawn is either blue or ...
Two hats are picked at random, what is the probability that one is blue and one is yellow?
Atul and Bhuvan play a game where each is asked to select a number from 1 to 9. If the two numbers same, both win a prize. The probability that they wil...
The likelihood that Maya secures a place in college D is 90% and in college E is 85%. Maya's order of preference is 'D', then 'E', and finally 'F'. Assu...
A bowl contains 9 blue balls, 7 white, and 5 black balls. If 2 balls are drawn in one go, then the probability of exactly one ball being blue is:
- There are 2 boxes. Box A contains 6 gums and 4 candies and Box B contains 3 gums and 7 candies. If a box is selected at random and 2 things are drawn out o...