You will take either a basket-weaving course or a philosophy course, depending o

Question

You will take either a basket-weaving course or a philosophy course, depending on what your advisor decides. You estimate that the probability of getting an A in basket weaving is 0.80, while in philosophy it is 0.70. However, the chances of your advisor choosing the basket-weaving course is only 40%, while there is an 60% chance that he will put you in the philosophy course. What is the probability that you end up with an A? (Enter your answer to three decimal places.)

You carry seven keys in your pocket, two of which are for the two locks on your front door. You lose one key. What is the probability that you can get into your house through the front door? (Enter your answer as a fraction.)

Explanation / Answer

1) 0.740

2) 5/7

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