8/18/2019 Probability Exam

1/3

Topic 9: Statistics and Probability

1. In how many diferent ways can a ten – question true – alse examination beanswered?

A 12 C 20

10 ! 210

2. In how many can se"en trees be #lanted in a circle?

A $20 C 1%%0

&0%0 ! %'

(. )hat is the number o #ermutation o the letters in the word *A+A+A,?

A (- C &2

-0 ! %2

%. In a mathematics examination a student may select 1& #roblems rom a set o 20#roblems. In how many can he ma/e his choice?

A (000 C 1-0%0

1&&0% ! 202$

&. here are 10 bas/etball team reistered in the I3C34 nationals. I each team #layse"ery team twice how many ames are #layed?

A %& C 10

'0 ! 120

-. 5ow many three – diit numbers reater than (00 can be ormed with the diits1 2 ( % and & i no re#etitions are allowed?

A (12& C 120

1$& ! (-

$. In how many diferent ways can & #ersons be seated in an automobile ha"in

#laces or 2 in ront seat and ( in the bac/ seat i only ( can dri"e?A (0 C (-

-0 ! $2

. 5ow many ways can % boys and % irls be seated alternati"ely in the row o eihtchairs?

A %0(20 C %

2% ! 11&2

'. In how many diferent ways can % #ersons be seated in consecuti"e seats in a rowo $ seats?

A $2 C 120

'- ! 1-

10. 5ow many diferent committees o - can be ormed rom 12 boys and 20 irls ieach committee is consistin o % boys and 2 irls?

A (%&-0 C '%0&0

-'120 ! %&1%%&0

11. A team o & students is to be chosen or a math contest. I there were ten maleand eiht emale students to chose rom what is the #robability that the threeteam members will be male and two will be emale?

A &61 C &6'

206&1 ! +one o these

12. 5ow many diferent sinals each consistin o - 7as hun in a "ertical can beormed rom % identical red 7a and 2 identical yellow 7a?

A $20 C 1&

2% ! 12

 probability / page 2

8/18/2019 Probability Exam

2/3

1(. 5ow many % – diit numbers can be ormed rom the numbers 0 1 2 ( % & -$ and ' i re#etition is allowed?

A %&(- C &0%0

10000 ! '000

1%. )hich o the ollowin is not a #robability "alue?A 0.''2 C 610

1(612 ! 0.01

1&. I A and are com#limentary e"ents and #robability o occurrence o e"ent A is8ero then 49: is

A ;ess than one C ero

1-. !etermine the #robability o throwin a total o $ in a sinle throw with two dice.

A 16( C 16-

16% ! 1612

1$. In one o the #arlor ames 1' tic/ets rom 1 to 1' are in the box. I two tic/etsare drawn at random. !etermine the #robability that both are odd.

A %61' C -61'

&61' ! $61'

1. A box contains % red $ white and & blue balls. wo balls are chosen at randomwith re#lacement. )hat is the #robability that they are both red?

A 161- C 1612

1610 ! 16

1'. )hat is the #robability o drawin either an ace or a /in in a sinle draw rom adec/ o &2 #layin cards?

A 161( C $6&2 261( ! 16-

20. )hat is the #robability o drawin either an ace or a heart in a sinle draw rom adec/ o &2 #layin cards?

A 1$6&2 C '62-

%61( ! 1&6&2

21. rom a ba containin % blac/ balls and & white balls two balls are drawn. indthe #robability that one is blac/ and the other is white.

A %6' C 26(

&6' ! 16(

22. wo cards are drawn at random on an ordinary dec/ o cards. )hat is the#robability that both cards are either a /in or a diamond?

A 1-61-' C %61(

206221 ! 1$6&2

2(. wo red boo/s and % blue boo/s are #laced at random on a shel. )hat is the#robability that the blue boo/s will be toether?

A 0.1 C 0.2

0.1%( ! 0.02&

2%. A number 1 to 10000 inclusi"e is selected at random. )hat is the #robability thatit is a #erect square?

A 0.01 C 0.02 0.01& ! 0.02&

 probability / page 3

2&. )hat is the #robability o drawin ( ace cards in ( draws rom an ordinary dec/o cards?

8/18/2019 Probability Exam

3/3

A 0.012( C 0.12(

0.00''& ! 0.0''&

2-. I 10 coins are tossed what is the #robability that it will show & heads and & tails?

A 0.2%- C 0.02%-

0.2&- ! 0.02&-

2$. )hat is the #robability o ettin a number *%, thrice in @"e tosses o a dice?

A 0.2(2 C 0.02(2

0.(22 ! 0.0(22

2. here is 1 deecti"e #er 100 items o a #roduct in a lon run. )hat is the#robability that there is one and only one deecti"e in a random lot o 100?

A 0.(-'$ C 0.($'-

0.('-$ ! 0.(-$'

2'. In how many can the I3C34 cha#ter with 1& directors choose a #resident a "ice#resident a secretary a treasurer and an auditor i no member can hold morethan one #osition?

A -(0-(0 C (-0(-0

((00 ! (00(

(0. A two – diit number is chosen randomly. )hat is the #robability that it is di"isibleby $?

A $6&0 C 16$

1(6'0 ! &6$