Complete the following statements:
$(i)$ Probability of an event $E +$ Probability of the event 'not $E$' $= \dots \dots \dots \dots \dots$
$(ii)$ The probability of an event that cannot happen is $\dots \dots \dots$. Such an event is called $\dots \dots \dots \dots \dots$
$(iii)$ The probability of an event that is certain to happen is $\dots \dots \dots$. Such an event is called $\dots \dots \dots \dots \dots$
$(i)$ Probability of an event $E +$ Probability of the event 'not $E$' $= \dots \dots \dots \dots \dots$
$(ii)$ The probability of an event that cannot happen is $\dots \dots \dots$. Such an event is called $\dots \dots \dots \dots \dots$
$(iii)$ The probability of an event that is certain to happen is $\dots \dots \dots$. Such an event is called $\dots \dots \dots \dots \dots$
(A) $(i)$ The sum of the probabilities of an event $E$ and its complement 'not $E$' is always $1$. Thus,$P(E) + P(\text{not } E) = 1$.
$(ii)$ The probability of an event that cannot happen is $0$. Such an event is called an impossible event.
$(iii)$ The probability of an event that is certain to happen is $1$. Such an event is called a sure event or a certain event.
$(ii)$ The probability of an event that cannot happen is $0$. Such an event is called an impossible event.
$(iii)$ The probability of an event that is certain to happen is $1$. Such an event is called a sure event or a certain event.
Explore More
Similar Questions
Two dice,one blue and one grey,are thrown at the same time. Write down all the possible outcomes. What is the probability that the sum of the two numbers appearing on the top of the dice is
$(i)$ $8 ?$
$(ii)$ $13 ?$
$(iii)$ less than or equal to $12 ?$
$(i)$ $8 ?$
$(ii)$ $13 ?$
$(iii)$ less than or equal to $12 ?$
Medium
View Solution$(i)$ $A$ lot of $20$ bulbs contains $4$ defective ones. One bulb is drawn at random from the lot. What is the probability that this bulb is defective?
$(ii)$ Suppose the bulb drawn in $(i)$ is not defective and is not replaced. Now one bulb is drawn at random from the rest. What is the probability that this bulb is not defective?
$(ii)$ Suppose the bulb drawn in $(i)$ is not defective and is not replaced. Now one bulb is drawn at random from the rest. What is the probability that this bulb is not defective?
Medium
View SolutionOne card is drawn from a well-shuffled deck of $52$ cards. Calculate the probability that the card will
$(i)$ be an ace,
$(ii)$ not be an ace.
$(i)$ be an ace,
$(ii)$ not be an ace.
Medium
View Solution$A$ bag contains $5$ red balls and some blue balls. If the probability of drawing a blue ball is double that of a red ball,determine the number of blue balls in the bag.
Difficult
View Solution$A$ bag contains lemon flavoured candies only. Malini takes out one candy without looking into the bag. What is the probability that she takes out
$(i)$ an orange flavoured candy?
$(ii)$ a lemon flavoured candy?
$(i)$ an orange flavoured candy?
$(ii)$ a lemon flavoured candy?
Medium
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo