Let S be the sample space of all 3 x 3 matrices with entries from the set {0, 1}. Let the events e! and E 2 be given by
E 1 = {A 
S : det A = 0} and
E 2 = {A 
S : sum of entries of A is 7}
If a matrix is chosen at random from S, then the conditional probability P(Ei/E 2 ) equals_____
Text Solution
Verified by Experts0.50
(0.50)
n(E 2 ) = arrangement of 7, 1 and 2 or = 
= 36
n(E 1 
E 2 ) = both zero should be in a row or a column
= 
(number of ways of arranging of (1, 0, 0) = 3 and arrangement of row = 3
total = 9
in same way for (1, 0, 0) for columns number of ways will be = 9
total ways =18
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