Question 1 of 22beginner🧠 RememberFill in the Blanks1 mark

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 an event is called _____. (iii) The probability of an event that is certain to happen is _____. Such an 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 _____.

(i)
Answer

1

(ii)
Answer

0, impossible event

(iii)
Answer

1, sure event or certain event

(iv)
Answer

1

(v)
Answer

0, 1

Explanation

The answers are derived directly from the theoretical probability definitions provided in the textbook context. Statement (i) refers to the property of complementary events where the sum of probabilities is always 1. Statements (ii) and (iii) define the probabilities of impossible and sure events, respectively, which are the boundary values for any probability. Statement (iv) reflects the fundamental rule that the sum of probabilities of all possible elementary outcomes must total 1. Finally, statement (v) describes the range of probability values, which cannot be negative or exceed 1.

Next