11th class statistics chapter 6 Probability,Probability,important definitions and short questions,1st year class

 Here you will see the important definitions and short questions of chapter 6 Probability. Very soon you will find the guess paper of this statistics book. Please My only request is to subscribe to this channel Welcome Academy on youtube.

Title:11th class statistics chapter 6 Probability,Probability,important definitions and short questions,1st year class

11th class,1st year class

chapter 6:Probability

 

(IMPORTANT   SHORT QUESTIONS) CHAPTER # 6

 

DEFINITIONS	ANSWERS
1)      Define Universal Set.	A set containing all elements of a problem under consideration is called universal set.
2)      What is Conditional Probability?	The probability associated with reduced sample space is called Conditional Probability.
3)      Define an Experiment.	The process of obtaining observations is called an experiment. E.g. throwing a coin,rolling a die.
4)      Define Equally Liking Events.	Two events are said to be equally likely if they have the same chance of occurring. When you toss a fair coin, you are equally likely to get a head or a tail.
5)      Define compound event.	The event consists of more than one sample points of a sample space is called compound event. {2,4,6}, {HT,TH} etc.
6)      Give the sample space, when two fair coins are tossed?	S={HH,HT,TT,TH}
7)      A fair die is rolled once. What is the probability of even number?	S={1,2,3,4,5,6}                                ,  n(S)=6 Let    A= Even no. Appears A={2,4,6}                                           , n(A)=2
8)      Write equally likely events in toss of a coin.	{H},{T} both events are equally likely as they  have same chance of occurrence.
9)      Write sample space for the experiment “Toss a pair of  dices”.	Sample space =  {(1,1), (1,2),(1,3),(1,4),(1,5),(1,6),(2,1) ,(2,2),(2,3),(2,4),(2,5), (2,6),  (3,1),(3,2),(3,3),(3,4),(3,5),(3,6), (4,1),(4,2),(4,3),(4,4),(4,5),(4,6), (5,1) ,(5,2),(5,3),(5,4),(5,5),(5,6), (6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}
10)   Define subset.	A set “A” is a subset of “B” if all elements of A exists in B.e.g  if A={1,2} and B={1,4,5,6,3,2} then  A is a subset of B.
11)   What is impossible event?	An event is called impossible event if it has no chance of occurring. If event A is impossible, then P(A) = 0.
12)   What is meant by random experiment?	The experiment is said to be random experiment if it gives different results even though it is repeated a large no of times under similar conditions.  e.g. rolling dice, tossing coins etc.
13)   What is sample space?	The sample space of an experiment is the set of all possible outcomes of that experiment. The sample space for tossing a coin:S= {H, T}
14)   Differentiate simple and composite events	Simple event consists of only one outcome while compound event consists of more than two outcomes of a sample space.
15)   Given that P(A) = 1/3 and  P(B) = ½,  P(A ∩ B) =¼  then find   P (A UB)	P (A UB)= P(A)+ P(B)- P(A ∩ B) P (A UB)=1/3+1/2-1/4 P (A UB)=7/12
16)   Make a ‘Sample Space’, when a cubical die is rolled	S={1,2,3,4,5,6}
17)   Write the names of two important rules used for  calculating probabilities.	You need  to use “Multiplication” and “Addition” rules  when calculating probabilities.
18)   Define simple event.	Simple event consists of only one outcome of a sample space.e.g  {2},{HHT}
19)   A fair die is rolled once, what is the probability of dot ‘5’.	S={1,2,3,4,5,6}   P(5)=1/6
20)   Define probability.	The mathematical measurement of uncertainty is called probability.
21)   State addition law of probability for mutually exclusive events.	If A and B be two mutually exclusive events then  P (A UB)= P(A)+ P(B) is called  addition law of probability for mutually e xclusive events.
22)   What is the answer of ?

 

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