Question

1. the weather forecast predicts a 60% chance of rain. however, if it does not rain, the hershey family has a 90% chance of going to an amusement park. what is the probability of going to the amusement park? 90% 36% 60% 30%

Explanation:

Step1: Find the probability of no rain

The probability of rain is 60% or 0.6. So the probability of no rain is $1 - 0.6 = 0.4$ (since the total probability of an event and its complement is 1).

Step2: Calculate the probability of going to the park

The family goes to the park only if it does not rain, and the probability of going to the park given no rain is 90% or 0.9. We use the formula for conditional probability: $P(\text{go to park}) = P(\text{no rain}) \times P(\text{go to park}|\text{no rain})$. Substituting the values, we get $0.4\times0.9 = 0.36$ or 36%.

Answer:

36% (the option with 36%)