12. it will be the same as they r independent events
i hav gone mad!
Q.1
IF 3 FAIR DICES ARE THROWN TOGETHER ,THE PROBABILITY THAT THE SUM OF THE NUMBERS APPEARING ON THE DICE IS K ,WHERE3<=K<=8
Q.2
THE PROBABILITY THAT A RADAR WILL DETECT AN OBJECT IN ONE CYCLE IS P . THEN THE PROBABILITY THAT THE OBJECT WILL BE DETECTED IN N CYCLES IS??
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16 Answers
62Q 1)
a+b+c <=8
1+x+1+y+1+z<=8
x+y+z<=5
x, y , z can take values form 0 to 5
so coeff of powers less thanequal to 5 in
(1+x+x2....x5)3
If you are afraid of this method.. take cases for x...
621-(1-p)n
In this one.. the answer is the explanation too!!
think carefully
62a+b+c <=8
1+x+1+y+1+z<=8
x+y+z<=5
x, y , z can take values form 0 to 5
case x=0
y+z<=5: no of ways is
y=0, then z can take 6 values
y=1, then z can take 5 values
y=2, then z can take 4 values
y=3, then z can take 3 values
y=4, then z can take 2 values
y=5, then z can take 1 values
hence 21 ways,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
case x=1
y+z<=4: no of ways is
y=0, then z can take 5 values
y=1, then z can take 4 values
y=2, then z can take 3 values
y=3, then z can take 2 values
y=4, then z can take 1 values
hence 15 ways,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
similarly 10, 6, 3, 2, 1 ways
hence total no of ways is
21+15+10+6+3+2+1= 58 ways..
see if i have made any calculatin mistake
62That i guess is the
so coeff of powers less thanequal to k-3 in
(1+x+x2....x5)3