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a MATH1853(2019-2020)_A2.pdf (page 2 of 2) v . Let W = {z 6 (3| (2 + 1)5 = 1 — i}. Rewrite W using the method of listing.

[Hint: First solve the equation 1115 = 1—7l, then the solutions to (2+1)5 = 1 —i will be 2 = w — 1.] . Let D = {513+in x+y =1 , 27,3} 6 R}. Find f(D), Where f : (C —> (C is deﬁned as f(2) = 22+3.

Then draw this image set on the Complex plane. . A committee of 4 persons is to be selected randomly from a group of 6 men and 4 women. (a) Find the probability that the committee consists of 2 men and 2 women. (b) Find the probability that the committee consists of at least one man.

. Given that P(A) = 0.35, P(B) = 0.2, and P(A U B) =0_4 Find (a) PM 0 B) ; (b) P(A’ D B’) ; (C) P(A’IB) - . In an experiment consisting of 10 throws of a pair of fair dice, ﬁnd the probability of the event

that at least one double 6 occurs. . An urn contains 8 white balls and 4 red balls. The experiment consists of drawing 2 balls from

the urn without replacement (i.e., each ball in the urn has only one chance to be selected). Find

the probability that both balls drawn are white.