Aspire Faculty ID #17429 · Topic: UGC NET Computer Science June 2024 (Paper II) · Just now
UGC NET Computer Science June 2024 (Paper II)

A bit string of length four is generated at random. What is probability that it contains at least two consecutive 0’s given that first bit is 0 ?

Solution

First bit is fixed as 0, so remaining 3 bits are free.


Possible strings:


0000

0001

0010

0011

0100

0101

0110

0111


Total outcomes $=8$


Strings with at least two consecutive 0's:


0000

0001

0010

0011

0100


Favourable outcomes $=5$


Probability


$=\frac{5}{8}$

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