If n ≠ 3k and 1 ,ω,ω2 are the cube roots of unity then has the value
Del=(1-w^3n)+w^n(0)+w^2n(w^4n-w^n) =1-(w^3)^n+(w^6)^n-(w^3)^n =1-1+1-1 =0
If , then its value is equal to
x,y,z being +ive equals
The number of values of k for which the system of equations ( k+1)x + 8y = 4k, kx + (k+3)y = 3k - 1 has inifinitely many solutions is
For infinitely many solutions the two equation become identical.
Let . Then A is
IF B is a non-singular matrix and A is a square matrix, then det (B-1 AB)
will be equal to
Two cards are drawn at random and without replacement from a pack of 52 playing cards. Find the probability that both the cards are black.
Seven chits are numbered 1 to 7. Three are drawn one by one with replacements. The probability that the least number on any selected chit is 5, is
A student appear for tests I,II and III. The student is successful if he passes either in tests I and II or tests I and III. The probabilities of the student passing in tests I,II and III are p,q and 1/2 respectively. If the probability that the student is successful is 1/2, then
Words from the letters of the word PROBABILITY are formed by talking all at a time.The probability that both B’s are together & both I’s are together is
The probability that a person will hit a target in a shooting practice is 0.3. If the shoots 10 times, the probability that he hit the target is
The probability that Krishna will be alive 10 years hence is 7/15 and that Hari will be alive is 7/10. What is the probability that both Krishna and Hari will be dead 10 years hence
The probabilities of solving a problem by three students A,B,C are 1/2, 1/3,1/4 respectively. The probability that the problem will be solved is
If A & B are independent events,then P(A ∩ B) equals
The probability that at least one of the events A and B occur is 0.6. If A and B occur simultaneously with probability 0.2, then
The probability of a man hitting a target is 3/4. He tries 5 times. The probability that the target will be hit at least 3 times, is
is equal to
If , then A2 + 2A equals
If a, b and c are non-zero real numbers, then is equal to
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