Question

Lucas is having the Sunday blues and hoping for a snow day this week. He measures that there are currently 10 inches of snow on the ground.
The forecast for Monday is a 50% chance of 2.5 inches of snow. If it doesn't snow, 1.5 inches of snow will melt.
The forecast for Tuesday is a 50% chance of 1.5 inches of snow. If it doesn't snow, 0.5 inches of snow will melt.
The weather on Monday and Tuesday are independent events.
Find the probability of 8, 10, 12, and 14 inches of snow

Answer 1

Hint:
first figure out what has to happen on Monday and Tuesday to get 8,10,12,14 inches of snow. Then work out the corresponding probabilities.