TCS Company Numerical Ability Probability

The bacteria has the probability of split into 3 and probability to die is 1/3rd of the total bacteria.Let the probability is P.Some of them survived with probability 1/5.Then which among the following relation is true?
a)P=1/3+1/5*3
b)P=1/5*(1/8-3)

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TCS Other Question

A man goes north 37km.turns left goes 2km.turns right goes 17km.turns right goes 2km. find distance b/w starting ending point.
a) 54
b) 27
c) 81
d) 67
There is a bacteria which has the probability of die 1/3 of its total number or it may tripled. Find out the probability
A. P=1/3+(2/3*p^3)
B. P=2/3+(2/3*p^3)
C. P=2/3+(1/3*p^3)
D P=2/3+(2/3*p^3)