Hello I still having a trouble with my homework because I don't understand. 1.Name the property represented. 8 + 5 + 4 = 5 + 8 + 4

Associative Property

Distributive Property

Commutative Property

2.Data on the governors of the fifty states are given in the table.Democrats Republicans Independents Male14 30 0 Female4 2 0

(a) Find the probability that a governor is female, given that the governor is a Democrat.

(b) Find the probability that a governor is female, given that the governor is a Republican.

3.Determine a casino's expected net income from a 24-hour period at a single roulette table if the casino's total overhead for the table is $50 per hour and if customers place a total of $7,000 on single-number bets, $4,000 on two-number bets, $4,000 on four-number bets, $3,000 on six-number bets, $7,000 on low-number bets, and $8,000 on red-number bets. (Assume the expected value of each of these $1 bets in roulette is -$0.053.)

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4.A group of 30 is selected at random. What is the probability that at least two of them will have the same birthday? (Round the answer to four decimal places.)

5.Name the property represented. 2(4 x 5)= (2 x 4) x 5

Distributive Property

Commutative Property

Associative Property

6.(a) If three persons are selected at random, what is the probability that all are women? (Round the answer to six decimal places.)

(b) If three persons are selected at random, what is the probability that two are women? (Round the answer to six decimal places.)

(c) If three persons are selected at random, what is the probability that one is a woman? (Round the answer to six decimal places.)

(d) If three persons are selected at random, what is the probability that none is a woman? (Round the answer to six decimal places.)