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Unit 1 · Discrete Structures and Optimization Paper 2 CS · June 2024 (Cancelled Exam)

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

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Correct answer: C. 5/8

Explanation

There are 8 strings 0xyz. All 4 starting 00 qualify; among 01yz only 0100 does. Probability = 5/8.

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