Question

Complete the following statements: (i) Probability of an event E + Probability of the event ‘not E’ = _______. (ii) The probability of an event that cannot happen is _________. Such as event is called _________. (iii) The probability of an event that is certain to happen is _________. Such as event is called ________. (iv) The sum of the probabilities of all the elementary events of an experiment is _________. (v) The probability of an event is greater than or equal to _______ and less than or equal to _______.

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

Complete the following statements:

(i) Probability of an event E + Probability of the event ‘not E’ = 1

Justification:Tossing a coin has two events,head appears(1/2) or head not appears(1/2)

= 1/2+1/2=1

(ii) The probability of an event that cannot happen is 0(zero). Such as event is called impossible event.

Justification: Sun rises from North,is impossible event,so Favourable outcome is 0.

(iii) The probability of an event that is certain to happen is 1. Such as event is called Universal Truth.

Justification: Sun rises from East,is universal truth,so Favourable outcome is 1.

(iv) The sum of the probabilities of all the elementary events of an experiment is 1.

Justification:Tossing a coin has two events,head appears(1/2) or tail appears(1/2)

= 1/2+1/2=1

(v) The probability of an event is greater than or equal to 0 and less than or equal to 1.

Justification: All the events that occurs lies in between the impossible event to universal truth; thus Probability of occurence of any event

$0 \leqslant </u></strong><strong><u>P</u></strong><strong><u>(</u></strong><strong><u>E</u></strong><strong><u>)</u></strong><strong><u> \leqslant 1$

Hope it helps you