If the probability of rain tomorrow is 0.3 and the probability of snow is 0.2, assuming independence, what is the probability of either rain or snow occurring?

Tue, 05 May 2026 07:05:51 +0000

**If the probability of rain tomorrow is 0.3 and the probability of snow is 0.2, assuming independence, what is the probability of either rain or snow occurring?** When unusual weather predictions surface—like a 30% chance of rain and a 20% chance of snow—many wonder: which weather event spells trouble? With climate patterns shifting, especially across parts of the U.S., residents increasingly seek clarity on combining weather probabilities. If the chance of rain stands at 30%, and snow at 20%, assuming these events happen independently, what’s the real likelihood of at least one of them brewing tomorrow? Calculating the probability of rain or snow (or both) combines basic probability rules into a practical to-do for everyday planning. When two events are independent—meaning the occurrence of one doesn’t influence the other—the probability of either happening is determined by a simple formula: P(A or B) = P(A) + P(B) – P(A and B). Since rain and snow are not mutually dependent, their joint probability is the product of their individual chances: 0.3 × 0.2 = 0.06. But because they can’t occur together under independence (no overlap), the full chance of either is simply P(A) + P(B) – 0 = 0.3 + 0.2 – 0 = 0.5. That means there’s a 50% chance of rain, snow, or both tomorrow—meaning half the day could bring shivers or showers, depending on location and timing.