Westerburg high school soccer team performs differently in the rain than they do when it doesn't rain. when it rains they have a 80% chance of winning, but when it doesn't rain they have a 50% chance of winning. today there is a 60 % of rain. what is the chance that they win their game today? a) 48% b) 50% c) 52% d) 68%

The correct answer is D) 68%

Step-by-step explanation:

In order to find this, we first need to calculate out the probability of it raining and they win. We can do this by multiplying the two probabilities together,

80% * 60% = 48%

Next, we need to calculate the probability of it not raining and them winning.

50% * 40% = 20%

Now we can add the two percentages together.

48% + 20% = 68%

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis: