Can someone help me out with these? Thank you. I rate really well. 1) A box cont

Question

Can someone help me out with these? Thank you. I rate really well.

1) A box contains 3 white, 2 red, and 3 black marbles. One marble is chosen at random, and it is not black. Find the probability that it is white. (Enter your answer as a fraction.)

2) 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 0.90, while in philosophy it is 0.60. 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.)

Explanation / Answer

1) Since we know that the marble is not black, the sample space is reduced to 3 white and 2 red marbles

We need to find the probability that a white marble is chosen

The probability = 3 / 5 (since there are 5 marbles in all)

2) Probability of getting an A =

P (Phil) * P (Get A) + P(Bas. Wea) * P (A)

= 0.60 ( 0.60) + 0.40 ( 0.90)

= 0.36 + 0.36

= 0.72

So, there is a 72 % chance of getting an A

Hope this helps. Please rate it ASAP. Ask if yhou have any doubts.thanks

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