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Maths Puzzle
There are three urns numbered 1, 2 and 3. Urn 1 has 2 black balls and 3 white balls. Urn 2 has 1 black ball and 2 white balls. Urn 3 has 2 black balls and 1 white ball. A person who is blindfolded, picks a ball from urn 1, puts it into urn 2, picks a ball from urn 2 and puts it into urn 3 and finally picks a ball from urn 3 and puts it into urn 1. What is the probability that at the end of round 1 all the urns have exactly the same composition as they originally started off with?
a)5/8
b)2/5
c)3/5
d)1/4
e)3/8
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Others Other Question
The first two terms of a series are ‘a’ and ‘b’ respectively, (a, b > 0) and thereafter, every subsequent term is the average of the previous two terms. What is the 12th term of this series?
options
a--(171a + 341b)/512
b--(343a + 681b)/1024
c--(341a + 683b)/1024
d--(683a + 1365b)/2048
In the Fibonacci sequence, 1, 1, 2, 3, 5, ......, each term after the second is the sum of the previous two terms. How many of the first 100 terms of the Fibonacci sequence are odd?