ca cpt qps on probabality

1. 16. A randomvariable Xhas the following
probabilitydistribution
X 0 1 2 3
P(x) 0 2k 3k k
Thenp(x≤2) wouldbe
a. 1/6 b. 1/3 c.2/3 d. 5/6
17. If P(A)=5/9,thenoddsagainstthe eventA is
a. 5:9 b. 5:4 c. 4:5 d.5:14
18. The odds infavourof A is 5:7 and odds
againstB 9:6 of solvingaproblemthenthe
probabilitythatthe problemcanbe solvedis
a. 147/180 b.122/180 c.117/180 d. none
19. There are three boxeswiththe following
composition
Box 1: 5red, 7white,6blue balls
Box2: 4red,8white,6blue balls
Box3: 3red,4white,2blue balls
If one ball isdrawnfrom eachbag at random,
thenwhatis the probabilitythattheywould
be of same color.
a. 89/729 b.97/729 c.82/729 d.23/32
20. An urncontains3 white,5blackandanother
urn contain 4 white,2blackballs.One ball is
drawnfrom eachof the bag findthe
probabilityof gettingbothwhiteballs.
a. 1/4 b.1/2 c.213/420 d.215/415
21. A bag contains7 red,3black balls.Twoballs
are drawnone afterthe otherwithout
replacement.The probabilitythatthe second
ball isred if the firstball isred.
a. 1/3 b.2/3 c.1/2 d. none
22. In a class,40% studentsstudyhistory,25%
civicsand 15% both historyandCivics.A
studentfromthe classis selectedatrandom.
The probabilitythatthe studieshistory,if itis
knownthat he studiescivicsis
a. 3/8 b.1/8 c.3/5 d.2/5
23. Two coinsare tossedsimultaneously,whatis
the probabilitythatthe secondcoinwould
9. A playerhas7 cards inhand of which5 are
redand of these five 2are kings.A card is
drawnat random.The probabilitythatitis a
king,itbeingknownthatisred is
a. 2/5 b.3/5 c.4/5 d. none
10. If the probabilityof ahorse A winningarace
is1/g and the probabilityof ahorse B
winningthe same race is1/4 , what isthe
probabilitythatnone of the horse will win
a. 5/12 b.7/12 c.1/12 d.none
11. A numberisselectedatrandomfromthe set
1, 2, 3……50. The probabilitythatitisa prime,
is
a. 0.1 b.0.2 c.0.3 d.0.7
12. In a lottery10000 ticketsare soldand ten
prizesare awarded.What isthe probabilityof
not gettingaprize.If you buyone ticket.
a. 9/10000 b. 9/10 c.999/1000 9999/10000
13. If there are 3 white,2blackballsinurn I. And
4 white,6blackballsinurnII.If one ball is
takenfromurn I and transferred tourn II and
ball istaken form urn IIthe probabilitythat
the ball drawnfrom urn II iswhite is
a. 23/55 b. 11/44 c.88/144 d. none
14. The probabilityof gettingacomposite
numberwhenandunbiaseddie istossedis
a. ¼ b. 1/3 c. ½ d.1
15. If three unbiasedcoinsare tossed
simultaneously,thenthe probabilityof
exactlytwoheads
a. 1/8 b. 2/8 c. 3/8 d. 4/8

2. 1. The probabilityof gettingatleastone head
when3 fair coinsare tossed
a. ½ b. 7/8 c.1/3 d. 1/8
2. An alphabetisselectedatrandomfromthe
word‘TRIANGLE’what isthe probabilitythat
the selectednumberisavowel.
a. 3/8 b. 7/8 c.1/3 d. 1/8
3. Two dice are throwntogether.The
probabilitythatthe eventthatdifferenceof
numbersshownis2 is
a. 2/9 b. 5/9 c.4/9 d. 7/9
4. When2 coinsare tossedthe probabilityof
gettingbothheadsor bothtailsis
a. 1/2 b. 3/4 c.1/4 d. none
5. What isthe probabilitythatacard drawn at
randomfrom a pack of 52 cards iseithera
kingor spade
a. 17/52 b. 4/13 c.3/13 d. 13/52
6. A committee of 3 membersistobe selected
out of 3 menand 2 women.Whatisthe
probabilitythatthe committee hasatleast
one women.
a. 9/10 b. 9/20 c.9/40 d.1/20
7. A dice isrolledthree timesandsumof
three numbersappearingonthe upmost
face is 15. The chancesthat the firstroll
was fouris
a. 2/5 b. 1/5 c.1/6 d. 1/108
8. Dailydemandforcalculatorsishavingthe
followingprobabilitydistribution
The variance of the demandis
Demand 1 2 3 4 5 6
Probability 0.1 0.15 0.20 0.25 0.18 0.12
a.2.54 b. 2.93 c.2.22 d. 2.19
24. Expectedvalue of arandom variable is
a. Alwayspositive
b. May be positive ornegative
c. May be positive negativeorzero
d. Is alwaysequal toone.
25. The probabilitythatthere isat leastone
error inan account statementpreparedby3
personsA,B and C are 0.2, 0.3 and 0.1
respectively.If theyprepare 60,70 and90
such statements,thenthe expectednumber
of correctstatementsis
a.170 b. 176 c. 178 d.180