Only three students, `S_(1),S_(2) and S_(3)` appear at a compettive examination. The probability of `S_(1)` coming first is 3 times that of `S_(2)` and the probability of `S_(2)` coming first is three times that of `S_(3)`. Find the probability of each coming first. Also find the probability that `S_(1) or S_(2)` comes first.
If the letters of the word MISSISSIPPI are written down at random in a row,what is the probability that four S s come together.
What is the probability that for S comes consecutively in the word 'MISSISSIPPI
If S_(r) denotes the sum of the first r terms of an A.P.then show that (S_(3r)-S_(r-1))/(S_(2r)-S_(2r-1)) is equals
In the circuit shown, S_(2) is closed first and is kept closed for a long time. Now S_(1) is closed. Just after that instant the current through S_(1) is
If S_(1),S_(2) are the sample spaces of an experiment at the first two trials, then
Three coherent sources S_(1), S_(2)" and" S_(3) can throw light on a screen. With S_(1) switched on intensity at a point P on the screen was observed to be I. With only S_(2) on, intensity at P was 2I and when all three are switched on the intensity at P becomes zero. Intensity at P is I when S_(1)" and" S_(2) are kept on. Find the phase difference between the waves reaching at P from sources S_(1) "and" S_(3) .
