Statistics and Probability Answers

Sir/Madam
I had two groups of persons, one group having 259 and another 260 individuals. the group first were treated with a medicine for a particular ailment, and 95 persons get alright i.e 36 per cent.
the second group consisting of 260 individuals was not treated with any medicine. but the persons recovered from the same ailment were 72 individuals i.e 27.6 per cent. now i had to find out the probability.

9. There are 5 girls and 3 boys in a statistics class. A group of 2 girls and 1 boy is to be formed to solve a particular problem. In how many ways can such a group be formed when:
a. Any boy and any girl may be included in the group
b. One particular girl may be included in the group.
c. Two particular girls may be included in the group.
10. The tourism department of a regional government have 5 vacancies of tourist managers to fill out 12 applicants who all are equally qualified for these posts. In how many ways can the vacancies be filled?

Four cards are drawn at random from a pack of 52 cards. Find the probability that this consists of:
a. a king, a queen, a jack and an ace.
b. two kings and two ace all diamonds.
c. two red and two blacks.
d. two clubs and two diamonds

A card is drawn at random from a card of well shuffled 52 cards. Find the following probabilities.
a. The card is either a spade or heart.
b. The card is not an ace.

Four cards are drawn at random from a pack of 52 cards. Find the probability that this consists of:
a. a king, a queen, a jack and an ace.
b. two kings and two ace all diamonds.
c. two red and two blacks.
d. two clubs and two diamonds

A fair coin is tossed thrice. Find the probabilities of the following events.
a. Probability of obtaining two heads.
b. Probability of obtaining three tails.
c. Probability of obtaining a head and two tails

A bag contains 15 white, 15 black, 10 red balls. 3 balls are drawn in succession. Probability that one of them is black, one of them is white, and another is red is

From a box containing 4 white and 6 black balls , 3 balls are transferred to another empty box. From new box a ball is drawn and it is black . What is the probability that out of 3 balls transferred 2 are white and one black ?

Within the United States, approximately 11.25% of the population is left-handed. Of the males, 12.6% are left-handed, compared to only 9.9% of the females. Assume the probability of selecting a male is the same as selecting a female. create a two- way table

If five slips of paper are numbered 1-5 and placed in a hat for a random draw for five people, is there any advantage of what turn a person selects his number in hopes of drawing the # 1 slip?
Isn't there a belief that the earlier in the selection order one chooses, the more likely that person will get the # 1 slip due to the likelihood of that slip being previously selected?