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?
steve was kinda right, the answer to the problem is 36%
To calculate the probability of going to the amusement park, we need to consider both scenarios: if it rains and if it doesn't rain.
Let's break it down:
Scenario 1: It rains
According to the weather forecast, there is a 60% chance of rain. So, the probability of it raining is 0.6.
Scenario 2: It doesn't rain
If it doesn't rain, the Hershey family has a 90% chance of going to the amusement park. So, the probability of not raining and going to the amusement park is 0.9.
To calculate the overall probability, we can use the concept of conditional probability. The probability of going to the amusement park can be calculated by multiplying the probability of not raining (0.4, since 1 - 0.6 = 0.4) by the probability of going to the amusement park if it doesn't rain (0.9).
P(going to amusement park) = P(not raining) * P(going to amusement park | not raining)
P(going to amusement park) = 0.4 * 0.9
P(going to amusement park) = 0.36
Therefore, there is a 36% chance of the Hershey family going to the amusement park.
can't say, since we have no idea of the chance of going to the park if it does rain.
If that is 0%, then P(~rain & park) = 0.40 * 0.90