Q2 of 54 Page 403

A coin is tossed twice, what is the probability that at least one tail occurs?

Here the sample space is S= (TT, HH, TH, HT)

∴ Number of possible outcomes n (S) = 4


Let E be the event of getting at least one tail


∴ n (E) = 3



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7

Refer to question 6 above, state true or false: (give reason for your answer)

(i) A and B are mutually exclusive


(ii) A and B are mutually exclusive and exhaustive


(iii) A = B’


(iv) A and C are mutually exclusive


(v) A and B’ are mutually exclusive.


(vi) A’, B’, C are mutually exclusive and exhaustive.

 1

Which of the following cannot be valid assignment of probabilities for outcomes of sample Space

3

A die is thrown; find the probability of following events:

(i) A prime number will appear,


(ii) A number greater than or equal to 3 will appear,


(iii) A number less than or equal to one will appear,


(iv) A number more than 6 will appear,


(v) A number less than 6 will appear.

 4

A card is selected from a pack of 52 cards.

(a) How many points are there in the sample space?


(b) Calculate the probability that the card is an ace of spades.


(c) Calculate the probability that the card is (i) an ace (ii) black card.