Part 1: Thinking (15 marks) 1. The probability that Ishaan will pass math is 73% and his probability of passing science is 85%. Assuming that these probabilities are independent, what are the odds against passing both classes? [3 marks] 2. A weather forecaster has a 60% chance of predicting the weather correctly today. If she is correct, then the probability of being correct the next day is 80%. If she is wrong, the chance of predicting incorrectly the next day is increased by 25% that she was wrong the previous day. Use a tree diagram to predict what the probability is that the forecaster will predict the weather correctly in exactly two of the next three days? [3 marks]