mcq probability wiht correct answers

8/9/2019 Mcq Probability Wiht Correct Answers

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MCQ 6.1M CQPROBABI L I T Y

When the possible outcomes of an experiment are equally likely to occur, this we apply: (a)

Relative probability (b) Subjective probability

(c) on!itional probability (d ) Classical prob a bil it y

MCQ 6.2

" number between # an! $ that is use to measure uncertainty is calle!:(a) Ran!om variable (b) %rial (c) Simple event (d) P robability

MCQ 6.&robability lies between:

(a) '$ an! $ ( b ) ! a " d 1 (c) # an! n (!) # an!

MCQ 6.#&robability can be expresse! as:

(a) Ration (b) *raction (c) &ercenta+e (d) All o $ t% & a b o' &

MCQ 6.%he probability base! on the concept of relative frequency is calle!:

(a) mpirical probability (b) Statistical probability ( c ) B o t% ( a ) a " d ( b ) (!) -either (a) nor (b)

MCQ 6.6%he probability of an event cannot be:

(a) qual to .ero (b) /reater than .ero (c) qual to one (d) L& ss t% a " &r o

MCQ 6.*" measure of the chance that an uncertain event will occur:

(a) "n experiment (b) "n event ( c ) A pro b a bi lity (!) " trial

MCQ 6.+" +raphical !evice use! to list all possibilities of a sequence of outcomes in systematic way is

calle!:

(a) &robability histo+ram (b) 0enn !ia+ram (c) &ie !ia+ram (d) T r& & dia,ra -

MCQ 6." ran!om experiment contains:

(a) "t least one outcome ( b ) A t l&a st t / o o 0 t c o - & s

(c) "t most one outcome (!) "t most two outcomes

MCQ 6.1!%he probability of all possible outcomes of a ran!om experiment is always equal to:

( a) O " & (b) 1ero (c) 2nfinity (!) "ll of the above

MCQ 6.11%he outcome of tossin+ a coin is a:

(a) 3utually exclusive event (b) ompoun! event (c) ertain event (d) i-p l& &'& " t

MCQ 6.12%he result of no interest of an experiment is calle!:

(a) onstant (b) vent ( c ) ail0 r & (!) Success

MCQ 6.1" set of all possible outcomes of an experiment is calle!:

(a) ombination (b) Sample point ( c ) a - p l& s p ac & (!) ompoun! event


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MCQ 6.1#%he numbers of countin+ rules that are useful in !eterminin+ the number of outcomes in an

experiment are:

(a) 4ne (!) %wo ( c ) T % r& & (!) *our

MCQ 6.1%he events havin+ no experimental outcomes in common is calle!:

(a) qually likely events (b) xhaustive events

( c ) M 0 t 0 a lly &3c l0 s i' & &'& " ts (!) 2n!epen!ent events

MCQ 6.16" set of outcomes forme! after some a!!itional information is calle!:

(a) Sample space ( b ) R& d0 c& d s a-p l& s p ac & (c) -ull set (!) Ran!om experiment

MCQ 6.1*%he probability associate! with the re!uce! sample space is calle!:

(a) C o"dit io"al pro b a bil ity (b) Statistical probability

(c) 3athematical probability (!) Subjective probability

MCQ 6.1+"n arran+ement of objects without re+ar! to or!er is calle!:

(a) &ermutation (b) C o - bi"atio" (c) Ran!om experiment (!) Sample point

MCQ 6.2!2f three can!i!ates are selecte! to atten! a course from the ten can!i!ates, the number of ways of selectin+

the can!i!ates is an example of:

( a) Co -b i" a t io " (b) &ermutation (c) Re!uce! sample space (!) 5oth (a) an! (b)

MCQ 6.21

When each outcome of a sample space is as likely to occur as any other, the outcomes are calle!:(a) xhaustive (b) 3utually exclusive ( c) 4 50 ally li & ly (!) -ot mutually exclusive

MCQ 6.22

2f " is any event in S an! A

its complement, then &( A

) is equal to:

(a) $ (b) # (c) $' " (d) 1 7 P(A)

MCQ 6.2When certainty is involve! in a situation, its probability is equal to:

(a) 1ero (b) 5etween 'l an! $ (c) 5etween # an! $ (d) O " &

MCQ 6.2#Which of the followin+ cannot be taken as probability of an event6

(a) # (b) #78 (c) $ (d ) 71

MCQ 6.22f an event contains more than one sample points, it is calle! a:

(a) Simple event (b) C o -po0" d &'&" t (c) 2mpossible event (!) ertain event


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When the occurrence of one event has no effect on the probability of the occurrence of another

event, the events are calle!:

(a) I"d&p&"d&" t (b) 9epen!ent (c) 3utually exclusive (!) qually likely

MCQ 6.2*" particular result of an experiment is calle!:

(a) %rial (b) Simple event (c) ompoun! event (d) O0tco -&

MCQ 6.2+" collection of one or more outcomes of an experiment is calle!:

(a) 4'&" t (b) 4utcome (c) Sample point (!) -one of the above

MCQ 6.2" process that lea!s to the occurrence of one an! only one of several possible observations is

calle!:

(a) Ran!om experiment (c) Ran!om variable (c) 43p&r i- &" t (!) &robability !istribution

MCQ 6.!Which statement is false6

(a) %he classical !efinition applies when there are n equally likely outcomes to an experiment

(b) %he empirical !efinition occurs when number of times an event happen is !ivi!e! by the number

of observations7

(c) " subjective probability is base! on whatever information is available

(d ) T%& ,&"&ral r0l& o$ addit io" is 0 s&d / %&" t%& &'&"t s ar & - 0t 0ally &3c l0si' &

MCQ 6.1%he term sample space is use! for:

( a) All p o s si b l& o 0 t c o - & s (b) "ll possible coins (c) &robability (!) Sample

MCQ 6.2%he term event is use! for:

(a) %ime (b) A s 0b 7 s & t o$ t % & sa-pl& s p a c &

(c) &robability (!) %otal number of outcomes7

MCQ 6.%he six faces of the !ie are calle! equally likely if the !ie is:

(a) Small (b) air (c) Six'face! (!) Roun!

MCQ 6.#

2f we toss a coin an! &(;) < =&(%), then probability of hea! is equal to:

(a) # (b) $>= (c) $>? (d) 28

MCQ 6." letter is chosen at ran!om from the wor! @Statistics@7 %he probability of +ettin+ a vowel is:

(a) $>$# (b) =>$# ( c ) 81! (!) A>$#

MCQ 6.6"n arran+ement in which the or!er of the objects selecte! from a specific pool of objects is important

calle!:

(a) ombination (b) P & r - 0 t a tio" (c) *actorial (!) Sample space


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MCQ 6.*%wo books are to be selecte! at ran!om without replacement out of four books7 %hen number of possible

selections are:

(a) A (b) = ( c ) 6 (!) ?

MCQ 6.+%hree books of !ifferent colours are to be arran+e! in a book'shelf7 %he possible arran+ements are:

(a) ? (b) $ ( c ) 6 (!) =

MCQ 6.

2f a sam ple S


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MCQ 6.!*ive car!s are selecte! at ran!om from a pack of 8= car!s with replacement7 %he possible

combinations are:(a) 8= ( b ) ( 2 )

(c) 8= x 8= (!) (8)

8=

MCQ 6.1%he !i+its $, =, ?, A, 8 are the roll numbers of 8 stu!ents7 %hese roll numbers are written on the paper

slips an! two paper slips are selecte! at ran!om without replacement7 %he possible combinations are:

(a) 8 (b) = (c) =8 (d) 1!

MCQ 6.2Which is the impossible event when a !ie is rolle!:

(a) = or ? (b) 8 or D (c) $ (d) ! o r *

MCQ 6.%he probability of !rawin+ any one spa!e car! is:

(a) $8$? ( b ) 18# (c) A8$? (!) $88=

MCQ 6.#" balance !ie is rolle!, the probability of +ettin+ an o!! number is:

( a) 182 (b) $8A (c) $8D (!) $8?D

MCQ 6.%wo fair !ice are rolle!7 %he probability of throwin+ an o!! sum is:

(a) $ ( b) 182 (c) $8D (!) $8?D

2f &(">5)


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MCQ 6.62" ran!om sample of =## ran!om !i+its is selecte! from a ran!om number table7 xpecte! number of

.eros in the sample is:

(a) 1ero (b) $# (c) 2 ! (!) 8

MCQ 6.6Six !i+its are selecte! at ran!om a+ain an! a+ain from a ran!om number table an! the even !i+its are

counte! each time7 2n most of the cases, the number of even !i+its will be:

(a) = (b) (c) A (!) D

MCQ 6.6#%wo events " an! 5 are calle! mutually exclusive if:

(a) A⋃B = Φ (b) A⋂B = Φ (c) A⋂B = S (d) A⋂B = 1MCQ 6.6

2f " an! 5 are two mutually exclusive events, then:

(a) P(A⋂B) = 0 (b) P(A⋂B) = 1 (c) P(A⋃B) = 0 (d) P(A⋂B) = SMCQ 6.66

When " an! 5 are two non'empty an! mutually exclusive events, then:(a) &("⋃5) < &(")7&(5) (b) P(A⋃B) 9 P(A) : P( B)

(c) P(A⋂B) = P(A).P(B) (d) P(A⋂B) = P(A)+P(B)MCQ 6.6*

%he two events " an! 5 are calle! not mutually exclusive events if:

(a) A⋂B = Φ (b) A⋂B ≠ Φ (c) A⋃B = Φ (d) A⋂B = zeroMCQ 6.6+

2f " an! 5 are !isjoint events then the statement which is always true is:

(a) P(A/B) = 0 (b) P(A⋃B) = 0 (c) P(A⋂B) = 1 (d) P(A) = P(B)MCQ 6.6

%he events ", 5 an! are calle! exhaustive events if:

(a) A⋃B⋃C = S (b) A⋂B⋂C = S (c) A⋃B⋃C = Φ (d) A⋃B⋃C = ZeroMCQ 6.*!

2f " an! 5 are not'mutually exclusive events, then:(a) P(A⋃B) : P(A⋂B) 9 P( A) : P(B) (b) &("⋃5) < &(") &(5)

(c) P(A⋃B) = P(A).P(B) (d) P(A⋂B) = P(A) + P(B)MCQ 6.*1

2f an event is the complement of the event ", then:

(a) A⋃ = S (b) A⋂ = S (c) A⋃ = Φ (d) P(A) = P( )MCQ 6.*2

2f "$, "=, "?, 777, "k are k mutually exclusive events, then:(a) P(A1⋃A2⋃A⋃ ...⋃A ) 9 P(A1):P(A2): P(A):...: P(A )(b) &("$⋃"=⋃"?⋃ 777⋃"k ) G $(c) &("$⋂"=⋂"?⋂ 777⋂"k ) < $

(d) P(A1⋂A2⋂A3⋂ ...⋂Ak ) = P(A1⋃A2⋃A3⋃ ...⋃Ak )MCQ 6.*

2f " is an empty set an! 5 is a non'empty set then:


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MCQ 6.6

(a) A⋂B = S (b) A⋂B = B (c) A⋃B = B (d) P(A) = P(B)


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MCQ 6.*#2f " is an empty set an! S is the sample space then:

(a) P(A⋃S) = P(S) (b) P(A⋃S) = P(Φ) (c) P(A⋂S) = 1 (d) P(A⋃S) = ZeroMCQ 6.*

2f " an! 5 are in!epen!ent events, then:(a) &("⋃5)


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MCQ 6.+*" !ie an! a coin are tosse! to+ether7 &robability of +ettin+ hea! on the coin is:

( a) 6 81 2 (b) D (c) $= (!) 1ero

MCQ 6.++" fair !ie is rolle!7 &robability of +ettin+ even face +iven that face is less than 8 is +iven by:

( a) 1 82 (b) 8 (c) = (!) D

MCQ 6.+%wo coins are tosse!7 %he probability that both faces will be matchin+ +iven by:

(a) $>A ( b ) 1 82 (c) $ (!) 1ero

MCQ 6.!%wo coins are tosse!7 &robability of +ettin+ two hea!s +iven that there is at least one hea! is +iven

by:

(a) $>= (b) 18 (c) $>A (!) =>?

MCQ 6.1" fair !ie is rolle!7 &robability of +ettin+ more thanA or less than ? is +iven by:

(a) 28 (b) $>? (c) $>= (!) A>?

MCQ 6.2FA7 " fair !ie is rolle!7 &robability of +ettin+ even face or face more than A is:

(a) $>? ( b ) 28 (c) $>= (!) 8>D

MCQ 6.%wo !ice are rolle!7 &robability of +ettin+ similar faces is:

(a) 8>?D (b ) 186 (c) $>? (!) $>=

MCQ 6.#%wo !ice are rolle!7 &robability of +ettin+ total less than A or total more than $# is +iven by:

(a) $#>?D (c) A>?D ( c ) 186 (!) $A>?D

MCQ 6.%wo !ice are rolle!7 &robability of +ettin+ a total of A +iven that both'faces are similar is:

(a) 8>?D (b) $>?D (c) A>?D (d ) 186

MCQ 6.62f " an! 5 are two not'in!epen!ent events, then the probability that both " an! 5 will happen

to+ether is:

(a) P(A⋂B) = P(A)P(B8A) (b) &("⋂5) < &(")&(5)

(c) P(A⋂B) = P(A)+P(B) (d) P(A⋂B) = P(A)MCQ 6.*

2f " an! 5 are two !epen!ent events, then:

(a) P( A ) P(B 8A) 9 P(B)P( A8 B) (b) &(">5) ")

(c) &(">5)


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MCQ 6.

(a) $>8 (b) 28 (c) ?>8 (!) $

MCQ 6.1!!

(a) *81! (b) $>$# (c) ?>$# (!) $

MCQ 6.1!1/iven &(")?, &(5)E an! &"5)A, then " an! 5 are:

( a) I " d &p & "d & " t (b) 9epen!ent (c) 3utually exclusive (!) qually likely

mcq probability wiht correct answers

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