I need a solution to this question

2. A group pf 12 students have been hired by the city this summer to work as ground keepers. (a) During their first week of employment, half will be assigned to pick up garbage down town while the other half go on a training course. The second week, they will switch places. In how many distinct ways can 12 students be assigned to training sessions (I.e., Week 1 or Week 2)? (b) Once all of the students have had their training, they will be assigned to 3 teams with 4 workers on each team and team duties will be assigned. (i) If each team is assigned to a different duty ( grass cutting, flower planting or tree trimming) and all of these teams will be assigned to the same one of four city par... click for more

Can someone give me a solution

3. Two cards are drawn form a standard deck of 52 cards. Explain why each of the following sets is not a Sample Space for this experiment. For each set, state all of the characteristics of a Sample Space which that set fail to have, giving an example of how it violates that necessary property of a Sample Space. (a) {at least 1 black card drawn, at least 1 red card drawn} (b) {at least one heart drawn, at least one club drawn} (c) {no reds drawn, no blacks drawn}

Solution please

4. A 13-card bridge hand is dealt from a standard deck. What is the probability that the hand contains at least 3 cards of each suit?

Solution please

5. Three friends play a game of darts until one of the 3 is declared a winner. It is known that Jan is twice as likely to win as Julio, and Jean is only half as likely to win as Julio. (a) What is the probability that Julio will win? (b) If Jan didn't win, what is the probability that Julio did?

Solution please

6. A hand of 4 cards contains one card of each suit ( I,e., one Heart, one Diamond, One Club and one spade). Simon uses this hand to play a game for which the rules are as follows: (1) When a Heart is drawn, the game stops immediately. (2) If the Diamond is drawn, the Diamond is set aside and not replaced (so that when the game continues there are only 3 cards in the hand). (3) If a black card is drawn, that black card is set aside and another Heart is put into the hand in its place (so the game continues with the same number of cards as before). Simon draws cards from the hand, one at a time, following these rules, until he draws a Heart (which may, of course, happen on the first draw, or... click for more