Question

The following statement is not true: There is a 50% chance that it will rain today and a 50% chance that it will rain tomorrow; therefore, there is a 100% chance that it will rain either today or tomorrow. Explain why this statement is false, and come up with an alternative statement that is true.

Name: the following statement is not true there is a 50 chance that it will rain today and a 50 chance that it will rain tomorrow therefore there is a 100 chance that it will rain either today or 13994
Uploaded: 2022-04-05T10:35:39-08:00
Duration: 2 min 43 s
Channel: David Nguyen
Description: the following statement is not true there is a 50 chance that it will rain today and a 50 chance that it will rain tomorrow therefore there is a 100 chance that it will rain either today or 13994

          The following statement is not true: There is a 50% chance that it will rain today and a 50% chance that it will rain tomorrow; therefore, there is a 100% chance that it will rain either today or tomorrow. Explain why this statement is false, and come up with an alternative statement that is true.

Added by Xavier G.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert David Nguyen

04/05/2022

Step 1

In probability, P(A or B) = P(A) + P(B) − P(A and B). The term P(A and B) can be positive, so the union probability is not necessarily 1. Show more…

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The following statement is not true: There is a 50% chance that it will rain today and a 50% chance that it will rain tomorrow; therefore, there is a 100% chance that it will rain either today or tomorrow. Explain why this statement is false, and come up with an alternative statement that is true.