Answer / manpreet singh

Answer is 1/5(0.20)
Total rooms=550-101+1=450
Favourable rooms= 1z4(where z=0,1,2,3,4,5,6,7,8,9)=10
1z5(where z=0,1,2,3,4,5,6,7,8,9)=10
1z6(where z=0,1,2,3,4,5,6,7,8,9)=10
2z4(where z=0,1,2,3,4,5,6,7,8,9)=10
2z5(where z=0,1,2,3,4,5,6,7,8,9)=10
2z6(where z=0,1,2,3,4,5,6,7,8,9)=10
3z4(where z=0,1,2,3,4,5,6,7,8,9)=10
3z5(where z=0,1,2,3,4,5,6,7,8,9)=10
3z6(where z=0,1,2,3,4,5,6,7,8,9)=10
total favourable rooms=90
probability=90/450=1/5=0.20

Answer / guest

There are total 450 rooms.

Out of which 299 room number starts with either 1, 2 or 3.
(as room number 100 is not there) Now out of those 299
rooms only 90 room numbers end with 4, 5 or 6

So the probability is 90/450 i.e. 1/5 or 0.20

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