Mix Test 1...

A determinant is chosen at random from the set of all determinants of order 2 with elements 0 or 1 only. The probability that the value of the determinant chosen is positive is

If the letters of the word ‘ INDEPENDENCE ‘ are written down at random in a row , then the chance that no two E’s occur together is

The coefficients of x^p and x^q ( p, q are + ve integers) in the binomial expansion of (1+x)^{p + q} are

If coefficients of three successive terms in the expansion of (x+1)ⁿ are in the ratio 1 : 3 : 5, then n is equal to