A group consists of 12 persons, of which 3 are extremely patient, other 6 are extremely honest and rest are extremely kind. A person from the group is selected at random. Assuming that each person is equally likely to be selected, find the probability of selecting a person who is (i) extremely patient (ii) extremely kind or honest. Which of the above values you prefer

A group consists of 12 persons, of which 3 are extremely patient, other 6 are extremely honest and rest are extremely kind. A person from the group is selected at random. Assuming that each person is equally likely to be selected, find the probability of selecting a person who is (i) extremely patient (ii) extremely kind or honest. Which of the above you prefer more.

John invites 12 friends to a dinner party, half of whom are men. Exactly one man and one woman are bringing desserts. If one person from this group is selected at random, what is the probability that it is a man who is not bringing a dessert OR that it is a woman?

In a group there are 2 men and 3 women ,3 persons are selected at random from the group . Find the probability that 1 man and 2 women or 2 men and 1 women are selected .

Exactly 70 percent of the people in each of 3 rooms are seniors at university X. If one person is selected at random from each of the the 3 rooms, what is the probability that each of the 3 peple selected is a senior at university X ?

Out of a group of 30 honest people, 20 always speak the truth. Two persons are selected at random from the group. Find the probability distribution of the number of selected persons who speak the truth. Also find the mean of the distribution

From the employees of a company, 5 persons are selected to represent them in the managing committee of the company. Particulars of five persons are as follows: A person is selected at random from this group to act as a spokeperson. What is the probability that the spokesperson wil be either male or over 35 years?

In a group of 50 scouts in a camp, 30 are well trained in first aid techniques while the remaining are well trained in hospitality but not in first aid. Two scouts are selected at random from the group. Find the probability distribution of number of selected scouts who are well trained in first aid. Find the mean of the distribution also. Write one more value which is expected from a well trained scout.

A lot consists of 48 mobile phones of which 42 are good, 3 have only minor defected and 3 have major defects. Varnika will buy a phone if its is good but the trader will only buy a mobile, if it has no major defect. One phone is selected at random from the lot. What is the probability that t is (i) accetable to Varnika? (ii) acceptable to the trader.

From a group of 2 men and 3 women , two persons are selected . Describe the sample space of the experiment , if E is the event in which one man and one women are selected , then which are the cases favourable to E?

A room has 3 lamps . From a collection of 10 light bulbs of which 6 are no good , a person selects 3 at random and puts them in a socket . What is the probability , that he will have light ?