Two numbers are removed at random from the numbers 1, 2, ...
Two numbers are removed at random from the numbers 1, 2, 3 and 4. What is the probability that the sum of the numbers removed is even?
\(\frac{2}{3}\)
\(\frac{1}{2}\)
\(\frac{1}{3}\)
\(\frac{1}{4}\)
Correct answer is B
\(\begin{array}{c|c} 1 & 2 & 3 & 4\\\hline 1(1, 1) & (1, 2) & (1, 3) & (1, 4)\\ \hline 2(2, 1) & (2 , 2) & (2, 3) & (2, 4) \\ \hline 3(3, 1) & (3, 2) & (3, 3) & (3, 4)\\ \hline 4(4, 1) & (4, 2) & (4, 3) & (4, 4)\end{array}\)
sample space = 16
sum of nos. removed are (2), 3, (4), 5
3, (4), 5, (6)
(4), 5, (6), 7
(5), 6, 7, (8)
Even nos. = 8 of them
Pr(even sum) = \(\frac{8}{16}\)
= \(\frac{1}{2}\)
Find the absolute mean deviation of the sample 10, 12, 14, 11, 13. ...
Divide the L.C.M of 48, 64 and 80 by their H.C.F ...
P, R and S lie on a circle center as shown above while Q lies outside the circle. Find ∠PSO ...
The locus of a point P which is equidistant from two given points S and T is ...
In the diagram, PQ // SR. Find the value of x ...
Simplify T = \(\frac{4R_2}{R_1^{-1} + R_2^{-1} + 4R_3^{-1}}\)...
If the simple interest on a sum of money invested at 3% per annum for 2\(\frac{1}{2}\) ye...