Question

Historically, a given day at the beginning of March in upstate New York has a 18% chance of snow and a 12% chance of rain. If there is a 4% chance it will rain and snow on a day, then which of the following
represents the probability that a day in early March would have either rain or snow?
1.) .30
2.) .34
3.) .02
4.) .26

Answer 1

The Venn probability that a a day in early March would have either rain or snow is given by:

4.) .26

What is a Venn probability?

In a Venn probability, two non-independent events are related with each other, as are their probabilities.

The "or probability" is given by:

$P(A \cup B) = P(A) + P(B) - P(A \cap B)$

In this problem, we have that the probabilities are given as follows:

$P(A) = 0.18, P(B) = 0.12, P(A \cap B) = 0.04$

Hence:

$P(A \cup B) = P(A) + P(B) - P(A \cap B)$

$P(A \cup B) = 0.18 + 0.12 - 0.04$

$P(A \cup B) = 0.26$

Which means that option 4 is correct.

More can be learned about Venn probabilities at https://brainly.com/question/25698611

#SPJ1