One student is selected at random. Let's define the following events: A = event the student selected is under 21, B = event the student selected is over 30, C = event the student selected is in his or her 20s, and D = event the student selected is over 18. 1. Determine the following events. a. E=(not D) b. F=(A & D) c. G= (A or D)
One student is selected at random. Let's define the following events:
A =
B = event the student selected is over 30,
C = event the student selected is in his or her 20s, and
D = event the student selected is over 18.
1. Determine the following events.
a. E=(not D) b. F=(A & D) c. G= (A or D) d. H= (B or C)
2. Using the data in the table, calculate the probabilities of these events: A,B,C,D,E,F,G and H.
3. We consider tossing a coin four times:
a. How many outcomes this experiment has?
b. Draw the tree diagram
c. List the outcomes constituting each of the following four events.
A = event "exactly two heads are tossed",
B = event "the first two tosses are tails",
C = event "the first toss is heads",
D = event "all four tosses come up the same"
d. List the outcomes of the following events: (C&D); (not A); (B&C); (A or B)
e. Calculate the probability of each of the event A,B,C and D.
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