JEE AdvancedMathematicsProbabilityNumerical+3 / −1
Consider the square in the figure. Let be the points of intersections (dots in the picture) in some order. We say that and are friends if they are adjacent along a row or along a column. Assume that each point has an equal chance of being chosen.
Two distinct points are chosen randomly out of the points . Let be the probability that they are friends. Then the value of is :
Two distinct points are chosen randomly out of the points . Let be the probability that they are friends. Then the value of is :Numerical answer
More from Probability
- In a study about a pandemic, data of 900 persons was collected. It was found that 190 persons had symptom of fever, 220 persons had symptom of cough, 220 persons had symptom of breathing problem, 330 persons had symptom of fever or cough…2022 · Numerical
- Two players, and , play a game against each other. In every round of the game, each player rolls a fair die once, where the six faces of the die have six distinct numbers. Let and denote the readings on the die… Includes table2022 · MCQ
- Suppose that Box-I contains 8 red, 3 blue and 5 green balls, Box-II contains 24 red, 9 blue and 15 green balls, Box-III contains 1 blue, 12 green and 3 yellow balls, Box-IV contains 10 green, 16 orange and 6 white balls. A ball is chosen…2022 · MCQ
- Consider three sets E1 = {1, 2, 3}, F1 = {1, 3, 4} and G1 = {2, 3, 4, 5}. Two elements are chosen at random, without replacement, from the set E1, and let S1 denote the set of these chosen elements. Let E2 = E1 S1 and F2 = F1 …2021 · MCQ
- Three numbers are chosen at random, one after another with replacement, from the set S = {1, 2, 3, ......, 100}. Let p1 be the probability that the maximum of chosen numbers is at least 81 and p2 be the probability that the minimum of…2021 · Numerical
- Three numbers are chosen at random, one after another with replacement, from the set S = {1, 2, 3, ......, 100}. Let p1 be the probability that the maximum of chosen numbers is at least 81 and p2 be the probability that the minimum of…2021 · Numerical
- Let E, F and G be three events having probabilities , and , and let P (E F G) =. For any event H, if Hc denotes the complement, then which of the…2021 · Multiple correct
- A number of chosen at random from the set {1, 2, 3, ....., 2000}. Let p be the probability that the chosen number is a multiple of 3 or a multiple of 7. Then the value of 500p is .2021 · Numerical