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Roll a pair of 4 sided-dice (one is a green die and the other is red).
a. Use a tree to find all the possible outcomes.
b. Write the sample space as a set (you may use 13 to denote the ordered pair (1,3), green=1, red=3).
c. Write the event A = “green die is 1” as a set and find its probability.
d. Without listing the event as a set, describe the complement of the event A in words and find its probability.
e. Write the event B = “sum is 2 or 3” as a set and find its probability.
f. Without listing the event as a set, describe the complement of the event B in words and find its probability.
b) S= {1.1, 1.2, 1.3, 1.4, 2.1, 2.2, 2.3, 2.4, 3.1, 3.2, 3.3, 3.4, 4.1, 4.2, 4.3, 4.4}
c) A= {1.1, 1.2, 1.3, 1.4}
P(A)= 4/16 = 1/4
D) A’ = green die is 2,3 or 4
P(A)= 1 – P(A)
= 1 – 1/4
= 3/4
E) B= (1,1 1,2 2,1)
P(B) = 3/16
F) (B’) = 1 – P(B)
= 1 – 3/16
= 16/16 – 3/6
= 13/16
B’ sum is not 2 or 3
a) Will show tree diagram in class
b)
S= {1.1, 1.2, 1.3, 1.4, 2.1, 2.2, 2.3, 2.4, 3.1, 3.2, 3.3, 3.4, 4.1, 4.2, 4.3, 4.4}
c)
A= {1.1, 1.2, 1.3, 1.4}
P(A)= 4/16 = 1/4
d)
A’ = green die is 2,3 or 4
P(A)= 1 – P(A)= 3/4
e)
B= (1,1 1,2 2,1)
P(B) = 3/16
f)
(B’) = 1 – P(B)
= 1 – 3/16
= 16/16 – 3/6
= 13/16
B’ sum is not 2 or 3
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