A weatherman states that the probability that it will rain tomorrow is 10%, or 0.1, & the probability that it will snow is 25%, or 0.25. What is the probability that it will not rain or snow?

In this problem, we're told that the probability that it will rain tomorrow is 10% or 0.1, and the probability that it will snow tomorrow is 25% or 0.25. We're then asked to find the probability that it will not do either of these things. So let's go ahead and get started. So looking at this, I have the probability that it will rain tomorrow as 0.1 and the probability that it will snow tomorrow as 0.25. So that tells me that the probability that it will rain or snow is equal to these two things added together, 0.35. But we're asked to find the probability that it will not do either of these things, the complement of the probability that we just found. We know that when finding the probability of the complement, so here, the probability that it will not rain or snow is simply 1 minus the probability that it will. So we can go ahead and take our value for that which is just 0.35 and subtract it from 1 giving us our answer of 0.65, the probability that it will not rain or snow. Thanks for watching and I'll see you in the next one.