Ex.15.1 Q1 Probability Solution - NCERT Maths Class 10

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Question

Complete the following statements:

(i) Probability of an event \(\rm{E +}\) Probability of the event 'not \(\rm{E}\)'__________.

(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 \(0\) and less than or equal to __________.

Text Solution

 

Steps:

(i) Probability of an event \(\rm{E +}\) Probability of the event 'not \(\rm{E}\)'\(\begin{align}\underline{=1}\end{align}\)

(ii) The probability of an event that cannot happen is \(\underline{0.}\) Such an event is called impossible event.

(iii) The probability of an event that is certain to happen is \(\underline{1.}\) Such an event is called sure event.

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

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