Use Coupon: CART20 and get 20% off on all online Study Material

Total Price: R

There are no items in this cart.
Continue Shopping
Get instant 20% OFF on Online Material.
coupon code: MOB20 | View Course list

Get extra R 440 off


let A= set of 3x3 determinat having entries +1 or -1, if a determinat A1 is chosen randomly from the set of A,then the probability that the product of the elements of any row or any column of A1 is -1 is _

4 years ago


Answers : (2)


I am not sure, but here is my best guess.



Sample Space = 2^9


(There are 9 positions, each position has two possiblities (-1 or +1) )


Favourable Outcomes :


Number of -1 in each row or coloumn should be odd.

So we get two cases here.

(i) No. of -1 in each row and coloumn is 3

(ii) No. of -1 in each row and coloumn is 1


Case 1:


This case can occur only when all the elements in the matrix is -1.


No. of favourable cases = 1


Case 2:


Consider the matrix row wise.

In the first row, you can put the -1 in any of the 3 places.

In the second row, you can put the -1 in two places (no below the previous one)

In the third row, you can put the -1 in only one place (remaining one, not below the other two).


So you get 3*2*1 = 6 possibilities in this case.


Total no. of favourable outcome = 6+1 = 7


So required probability is 7/29 ..

4 years ago

Okay I missed a case.


All digits in a single row are -1. Rest of the elements are 1.

So we get 3 more cases.


So Probability = 10/2^9

4 years ago

Post Your Answer

Other Related Questions on Algebra

(a+b) 2 = a 2 +2ab+b 2
HARINATH 9 months ago
(a+b) 2 = a 2 +2ab+b 2
OUTPASS 9 months ago
+2ab+b 2 2 = a 2 (a+b)
SHANMUKESHWAR 9 months ago
if a,b and c are in arithmetic progression then prove that 2b=a+c?
Dear Student, If a, b and c are in AP, this means that the comman difference between these numbers will be equal. i.e. b – a = c – b or 2b = a+c. Thanks.
Vijay Mukati 2 months ago
since b=a+c/2 therefore 2b=a+c -------------------------------------------------------------------------------------------------------------------------
rajesh 2 months ago
what is eccentricity?????????????????????????????????????
In mathematics, the eccentricity, denoted e or , is a parameter associated with every conic section. It can be thought of as a measure of how much the conic section deviates from being...
Prabhakar ch 4 months ago
Essentrisity is the measure of hou many any conic section deviates from being circular.the essentricity of circle is zero.ellipse e=c/a
malle yaswanthkumar 4 months ago
my dear guddi at room temparature value 25.then we substuite the values of p,r,v values then we get the number of moles.
malle yaswanthkumar 4 months ago
find d 2 y/dx 2 (independent of t) of the function defined paramaterically as x = sin (ln t) and y = cos (ln t)
x = sin(lnt) and y=cos(lnt) The equation satisfies the above two parametric equations is x^2+y^2=1. Differentiating with respect to x , we get Again differentiating equation (1) with respect...
in differential (d/dx)(dy/dx)=(d^2y)/(dx^2) write above equation why do not write (d^2x^2)?
because w.r.t of x we are differentiating, that why we are not writting d^2x^2,, we are writting dx^2
vijaychari 4 months ago
how to calculate vector products like (a*b)*(c*d) where * represent cross products
To calculate such product take a*b=m and then solve and later replace m by a*b A*b=m hence m*(c*d) solve by vector triple product
Himanshu 7 months ago
To calculate such product take a*b=m and then solve and later replace m by a*b A*b=m hence m*(c*d) solve by vector triple product.
Ankit Jaiswal 4 months ago
View all Questions »

  • Complete JEE Main/Advanced Course and Test Series
  • OFFERED PRICE: R 15,000
  • View Details
Get extra R 6,000 off
USE CODE: Exclusive40

Get extra R 440 off

More Questions On Algebra

Ask Experts

Have any Question? Ask Experts

Post Question

Answer ‘n’ Earn
Attractive Gift
To Win!!!
Click Here for details