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On each of the first three days of January, there is a 1/2 chance that it will snow where Bob lives. On each of the next four days, there is a 1/3 chance that it will snow. What is the probability that it snows at least once during the first week of January?

 Apr 14, 2022
 #1
avatar+2668 
+1

It is easier to count for what we don't what and subtract that from 1. 

 

The probability that there will 0 days of snow is: 123×234=281

 

Thus, the probability that it will snow for at least 1 day of the week is: 1281=7981

 Apr 14, 2022
 #2
avatar+580 
+1

Why are there so many counting and prob questions today????

Vinculum  Apr 14, 2022

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