Tickets for movies in a particular theatre have numbers from 1 to 100 printed on them with each ticket having a unique number. The tickets are sold in a random order. Three people go to the theatre and buy tickets, when all the tickets are available. What is the probability that exactly one person's seat is in the range of 6 to 50?
2 persons a and b throw a coin alternatively till one of them gets head and wins the game . what are their respectively probability of winning?
A fanne-khan Mathematician was asked to solve for the roots of the function,
F(x) = x4 – x3 + 2x2 -4x – 8
If the mathematician gave only one answer, what is the probability that his answer was the lowest possible real root given that his answer was correct and a real root of the function indeed?
0.5
0.33
0.25
None of these
x⁴ - x³ + 2x² -4x -8 = 0
( x +1) ( x -2) ( x² +4) = 0
x = -1 , 2 ± 2i
Two real , two imaginary roots.
Probability of getting smallest real root : 1/2:
A coin of radius 3 cm is randomly dropped on a square floor full of square shaped tiles of side 10 cm each. What is the probability that the coin will land completely within a tile?
If the centre of the coin falls anywhere on smaller square , the coin lies entirely within the bigger square (tile). The probability that the coin lies entirely within a tile is : (area of smaller square)/( area of the bigger sqaure ) = 16/100 = 0.16
A teacher selects 23 speakers to speak in the class. What is the probability that A is followed by B and B is followed by C?
Sir, does this mean that they are speaking consecutively or we will consider it to be not necessarily consecutive(and this probability is 1/6)?
can be any number of persons in between including zero.
Two points A and B are picked on a circle with a unit radius. What is the probability that the chord AB has at least length 1 unit?
solution for question 48 please
48th
Assuming the seating assignments are fixed, the problem is tantamount to arranging 17 blue chairs and 33 green chairs in a circle so that no two of the green chairs are adjacent. We will solve the problem for a line, then adjust our answer because chairs are arranged in a circle.
Line up 17 blue chairs. This creates 18 spaces, 16between successive blue chairs and two at the ends of the row. Choose three of the spaces in which to place a green chair. This can be done in (18C3)ways.
However, we have counted selections in which both the first and last chairs are green. If both ends are selected, there are 16 remaining spaces in which we place the third green chair. Hence, there are 16 linear arrangements in which no two of the green chairs are adjacent in which there is a green chair at both ends of the row. Since we will be joining the ends of the row to form a circle, these arrangements must be excluded.
Therefore, the number of ways of circular arrangements of 17 blue chairs and 33 green chairs so that no two of the green chairs are adjacent is
18C3 - 16C1= 3*17*16-16 =16*50=800 (answer)
read 33 as 3 ,sorry for the mistake
