Based on the following new information. Given it is raining, what is the probability of Sunshine delight winning ?

Storm Chaser Sunshine delight
Given Raining 0.6
Given not raining 0.6

1 answer

To calculate the probability of Sunshine Delight winning given that it is raining, we can use conditional probability. We have some probabilities provided:

  • Probability of Storm Chaser winning given it is raining \(P(SC | R) = 0.6\)
  • Probability of Sunshine Delight winning given it is raining \(P(SD | R)\) (which we want to find).

Since there are only two possible outcomes (either Storm Chaser or Sunshine Delight wins), we know that:

\[ P(SC | R) + P(SD | R) = 1 \]

From the information given:

\[ 0.6 + P(SD | R) = 1 \]

Now, solving for \(P(SD | R)\):

\[ P(SD | R) = 1 - 0.6 = 0.4 \]

Therefore, the probability of Sunshine Delight winning given that it is raining is \(0.4\) or \(40%\).