The value of such that the system of equations 2x - y - 2z = 2; x - 2y + z = - 4; x + y + z = 4, has no solution, is
3
1
0
- 3
If the letters of the word 'PROBABILITY' are written down at random in a row, then probability that two B's are together, is
A.
Total number of ways in which the letters of the word 'PROBABILITY' can be arranged in a row
=
Number of ways in which two B's are together
=
Required probability
=
A fair coin is tossed-at a fixed number of times. If the probability of getting exactly 3 heads equals the probability of getting exactly 5 heads, then the probability of getting exactly one head is
1/64
1/32
1/16
1/8