tossed once. Let A denote the event ‘three heads show”, B denote the event “two heads and one tail show”, C denote the event” three tails show and D denote the event ‘a head shows on the first coin”. Which events are (i) mutually exclusive? (ii) simple?
(iii) Compound? . Three coins are tossed. Describe Two events which are mutually exclusive.
Three events which are mutually exclusive and exhaustive. (iii) Two events, which are not mutually exclusive. (iv) Two events which are mutually exclusive but not exhaustive. (v) Three events which are mutually exclusive but not exhaustive.
. Two dice are thrown. The events A, B and C are as follows: A: getting an even number on the first die. B: getting an odd number on the first die.
C: getting the sum of the numbers on the dice ≤ . Describe the events A ′ not B (iii) A or B (iv) A and B (v) A but not C (vi) B or C (vii) B and C (viii) A ∩ B ′ ∩ C ′ . Refer to question above, state true or false: (give reason for your answer) A and B are mutually exclusive A and B are mutually exclusive and exhaustive (iii) A = B ′ MATHEMATICS (iv) A and C are mutually exclusive (v) A and B ′ are mutually exclusive. (vi) A ′ , B ′ , C are mutually exclusive and exhaustive.
. Axiomatic Approach to Probability In earlier sections, we have considered random experiments, sample space and events associated with these experiments. In our day to day life we use many words about the chances of occurrence of events. Probability theory attempts to quantify these chances of occurrence or non occurrence of events.
In earlier classes, we have studied some methods of assigning probability to an event associated with an experiment having known the number of total outcomes. Axiomatic approach is another way of describing probability of an event. In this approach some axioms or rules are depicted to assign probabilities. Let S be the sample space of a random