The probability of an event to happen in

Answered question

2022-04-15

The probability of an event to happen in the next week is p and It is constant throughout the week What is the probability of this event to happen in the next 2 days?

Answer & Explanation

karton

karton

Expert2023-04-28Added 613 answers

We are given that the probability of an event happening in the next week is p, and that this probability is constant throughout the week. We want to find the probability of this event happening in the next 2 days.
Let A be the event that the event happens in the next 2 days. We can calculate the probability of A using the following steps:
First, we note that there are 7 days in a week, so the probability of the event not happening in the next 2 days is the probability of it happening in the remaining 5 days. The probability of the event not happening in the next 2 days is therefore:
P(not A)=(1p)5
The probability of the event happening in the next 2 days is simply the complement of the probability of it not happening in the next 2 days:
P(A)=1P(not A)=1(1p)5
Therefore, the probability of the event happening in the next 2 days is 1(1p)5.

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