Question

1. the weather forecast shows a 45% chance of rain. if it does not rain then there is an 90% chance of going to the beach. what is the probability of going to the beach?

Explanation:

Step1: Find the probability of no rain

The probability of rain is 45% or 0.45. So the probability of no rain is \(1 - 0.45 = 0.55\) (or 55%).

Step2: Calculate the probability of going to the beach

The probability of going to the beach is the probability of no rain multiplied by the probability of going to the beach given no rain. The probability of going to the beach given no rain is 90% or 0.9. So we calculate \(0.55\times0.9 = 0.495\) (or 49.5%).

Answer:

The probability of going to the beach is \(49.5\%\) (or \(0.495\)).