A box contains three balls-a red, a black and a white. You put your hand inside the box, and pick up one ball, and find it is red.

a) What is the experiment?

b) What is the outcome?

c) What is the total number of possible outcomes?

d) What is the sample space?

Draw a tree diagram for the experiment in which you toss a coin four times?

Find the following probabilities when one card is picked up from a well shuffled deck of cards.

a) P (King of clubs)

b) P ( a heart or a spade).

In each of the following exercises, an experiment is described. Specify the relevant sample spaces.

a) A machine manufactures a certain item. An item produced by the machine is tested to determine whether or not it is defective.

b) An urn contains six balls, which are colored differently. A ball is drawn from the urn and its color is noted.

c) An urn contains ten cards number 1 through 10. A card is drawn, its number noted and the card is replaced. Another card is drawn and its number is noted

Suppose a six-faced die is thrown twice. Describe each of the following events:

a) The minimum score is 6.

b) The total score is 9.

c) Each throw results in an even score.

Of 150 patients examined at a clinic, it was found that 90 had heart trouble, 60 had diabetes and 30 had both. Draw a Venn diagram showing this data?

You were watching TV with your friend when a soap company advertises that according to their survey 65 of every hundred people they interviewed, preferred their soap over all the other soaps manufactured in India. What is the probability that your friend uses that soap?

Income tax inspectors surveyed 50 houses in Greater Kailash in New Delhi and found that 16 house owners had Maruti Zen, 8 had Toyota Corolla, 29 had Maruti Esteem, 11 had Ford Ikon, 9 had both Maruti Esteem and Zen and 5 had both Ford Ikon and Maruti esteem. Draw a Venn diagram showing this data. If one house owner is picked at random, what is the probability that (a) the house owner owns a Maruti Zen only? (b) the house owner owns a Ford Ikon only?

The table below shows the distribution of students of Rampur college in Rampurhat, West Bengal.

If one student is chosen at random from the student body for the position of the President of the Students’ Union, what is the probability that the student is

a) a first year student or a third year student?

b) a second year arts student or a third year science student?

The table below shows the teachers in the history Department at Chimanpur University.

If the head of the History Department is chosen at random, what is the probability that the person chosen is

a) a female or a professor? b) a male or a lecturer?

The Yuva Parishad of Gurgaon is electing a President and a Secretary for the Parishad from a group of 5 women and 3 men. The President is to be elected first and then the Secretary. What is the probability that

a) a woman is elected as the President and a man as the Secretary?

b) a man is elected as the President and a woman as the Secretary?

c) two women are elected for the two positions?

From a pile of ten old newspapers, 5 Statesman and 5 Indian Express, you pick two newspapers at random - one at a time, without replacement. (a) What is the probability that both are Statesman? (b) What is the probability that you pick a Statesman first and then an Indian Express?

Identify which pairs of events E and F are mutually exclusive and which ones are not mutually exclusive.

a) E: You get a ‘Head’ when you toss a coin F: You get a ‘Tail’ when you toss a coin.

b) E: Jyoti Basu is elected Chief Minister of West Bengal F: Ramkrishna Hegde is elected Chief Minister of Karnataka.

c) E: Getting a heart in picking one card from a deck. F: Getting a King or a Queen or a Jack in picking one card from a deck.