At ACME university students must eventually take a set of core courses. The regi

Question

At ACME university students must eventually take a set of core courses. The registrar reports the proportion of freshman enrolled in the core courses as follows: What's the probability that a freshman student chosen at random is not taking psychology? What's the probability that a freshman student chosen at random is taking English or History? What's the probability that a freshman student chosen at random is taking English and history? In a bucket there are 25 balls - 6 white, 8 black, and 11 red. When balls are removed they are not replaced. Give the probability of: Selecting a red or black ball on the first pick Selecting two white balls in a row on the first two picks Selecting a black ball and then either a white or a red ball on the first two picks

Explanation / Answer

a.The probability that a freshman student chosen at random is not taking psychology is:

1-0.42=0.58

b.The probability that a freshman student chosen at random is taking English or History is:

0.78+0.34-0.78*0.34=0.8548

c.The probability that a freshman student chosen at random is taking English and History is:

0.78*0.34=0.2652

a.The probability of selecting either a red ball or a black ball in the first pick is:

6/25+(8/25)

=0.56

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