Question

A sequence of 4 bits is randomly generated.each bit takes up a binary format and can either have a value of 0 or 1. what is the probability that at least one of these bits is zero

Answer 1

Answer:

Step-by-step explanation:

1/16

Answer 2

Given,

A sequence of 4 bits is randomly generated having either 0 or 1.

To Find,

The probability that at least one of the bits is zero.

Solution,

We can find the required probability as

The probability that at least one of the bits is zero = 1-Probability that a bit has no zero.

Now,

Probability = favorable outcomes/total number of outcomes

There will be only one bit having no zero that is 1111.

Total outcomes = 16

So,

The probability that at least one of the bits is zero = 1-1/16

The probability that at least one of the bits is zero = 15/16

Hence, the probability that at least one of the bits is zero is 15/16.