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Determine the probability of three sunny days in a row when the probability of rain on each day is 20%
A) 80 %
B) 0.8%
C) 51.2%
D) 60 %

Respuesta :

facundo3141592

The probability of 3 sunny days in a row is P = 0.512, so the correct option is C.

How to find the probability?

We know that the probability of rain each day is 20%. Then the probability of a sunny day is 100% - 20% = 80%.

Writing this probability in the decimal form we get 0.8.

Now, to get 3 sunny days in a row, we need to have the probability 0.8 3 times (and remember that the probabilities multiply between them) so the joint probability is:

[tex]P = (0.8)^3 = 0.512[/tex]

To get it in percentage form, we multiply it by 100%.

P = 0.512*100% = 51.2%

So the correct option is C.

If you want to learn more about probability:

https://brainly.com/question/25870256

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