In university final year, suppose a student has to take 10 independent courses. From the final year examination results, if a student can get A or above for at least 8 courses, they will be awarded a first class honors.

In ordinary situations, with probability of 0.4, Amy will get A or above. But, with a probability of 0.5, Amy will be in low mood during the examination period. Under that low mood case, Amy will get A or above for each course with probability of 0.65

What is the probability Amy will get A or above for at least 8 courses given that she is in low mood during the examination period?

What is the probability Amy will get a first class honors?