PROBABILITY
1. Two dice are thrown simultaneously. Find the probability o obtainin! a total score o se"en. #a$ 1%&
#b$1%'&
#c$(%')
#d$1%1(
(. *hat is the probability o !ettin! e+actly three heads while tossin! , coins at a time#a$1%&
#b$1%'
#c$ 1 % ,
#d$1%1(
'. *hat is the probability o !ettin! at least three heads while tossin! ) coins at a time#a$1%&
#b$1%'
#c$ 1 % ,
#d$1 % (
,. *hat is the probability o !ettin! at most three heads while tossin! ) coins#a$1( %1&
#b$1' % 1&
#c$ 1( % '(
#d$1, % (&
). *hat is the probability o !ettin! doublets while throwin! ( dice simultaneously#a$1%&
#b$1%'
#c$ 1 % ,
#d$1 % (
&. *hat is the probability that a number selected rom 1 ( '/.() is a prime number#a$0%(
#b$%()
#c$2%()
#d$1%()
0. Find the probability o !ettin! heads in all our trials when a coin is tossed our times. #a$1%1&
#b$1%'(
#c$1%&,
#d$1%2
2. Two air dice are thrown. Find the probability o !ettin! a sum which is a prime number 3 2#a$ 11%1'
#b$ 1'%'&
#c$ 1%1'
#d$ 4
. *hen a pair o air dice is rolled once what is the probability that both dice do not show up a a$ ()%'&
#b$ ')%'&
#c$ 11%'&
#d$ 1%&
15. An anti aircrat !un can 6re our shots at a time. I the probabilities o the 6rst second third and the last shot hittin! the enemy aircrat are 5.0 5.& 5.) and 5.,
what is the probability that our shots aimed at an enemy aircrat will brin! the aircrat down#a$ 5.5'&
#b$ 5.',
#c$ 5.&,.
#d$ 5.5,(
11. A spea7s truth in 0)8 and B in 258 o the cases. In what percenta!es o cases are they li7ely to contradict each other narratin! the same incident#a$ ()8
#b$ &)8
#c$ ')8
#d$ )58
1(. From a pac7 o )( playin! cards our cards are drawn at random. Find the probability o drawin! all the our cards o the same suit. #a$ 1'9, % )(9, #b$ , : #1'9, % )(9,$ #c$ )(9,$ #c$ ,9, % )(9, #d$ ;one o these 1'. I two cards are drawn at random what is the probability that the 1 st is a 7in! and the ( nd belon!s to heart#a$ 1%)(
b$ (%1'
d) None of these
c$ ,%)1
1,. A bo+ contains (5 electric bulbs out o which , are deecti"e. Two bulbs are chosen at random rom this bo+. The probability that at least one o these is deecti"e is< #a$ , % 1
#b$ 0 % 1
#c$ 1( % 1
#d$ 15 % (1
1). A man and his wie appear in an inter"iew or two "acancies in the same post. The probability probability o husband=s husband=s selection selection is #1 % 0$ 0$ and the probability probability o wie=s wie=s selection is #1 % )$. *hat is the probability that only one o them is selected#a$ , % )
#b$ ( % 0
#c$ 2 %1)
#d$ , % 0
A>>I?;@;T >T 1&. The probability that A can sol"e the problem is (%' and B can sol"e the problem is C.i both o them attempt the problem then what is the probability that the problem !ets sol"ed. #a$ 1%(
#b$ 10%1(
#c$ 1%,
#d$ 11%1(
10. Two dice are tossed. The probability that the total score is a prime number is< #a$ 1 % &
#b$ ) % 1(
#c$ 1 % (
#d$ 0 %
12. A drawer contains )5 bolts and 1)5 nuts. al o the bolts and hal o the nuts are rusted. I one o the items is chosen at random the probability that it is rusted or a bolt is
#a$ )%2
#b$ D
#c$ '%2
#d$ 1%2
1. A card is chosen rom a well shuEed pac7 o )( cards. *hat is the probability that the card chosen is a spade number#a$ 4
#b$ (%1'
#c$)%(&
#d$ 1%(&
(5. Two cards are drawn rom a pac7 o cards in succession #with replacement$. Find the probability that both are 7in!. #a$1%1,,
#b$1%1&
#c$1%101
#d$1%(
(1. The probability o a student possessin! a iTech point pen is '%) and that o possessin! a ball point pen is (%'. Find the probability that a student can ha"e at least one type o pen. #a$ '%)
#b$ (%)
#c$ 1'%1)
#d$ 1%1)
((. *hen ' coins are tossed to!ether what is the probability o !ettin! e+actly ( tails#a$ '%2
#b$ 2%
#c$ (%'
#d$ ;one o these
('. I A spea7s the truth 25 8 o the times and B spea7s the truth &5 8 o the times. *hat is the probability that both spea7 the truth at the same time#a$ 5.2
#b$ 5.,2
#c$ 5.&
#d$ 5.1,
(,. The probability that a computer company will !et a computer hardware contract is (%' and the probability that it will not !et a sotware contract is )%. I the probability probability o !ettin! at least one contract is ,%) what is the probability that it will !et both the contracts#a$ (1 % ,)
# b$ 2 % (0
#c$ 1, % ,)
#d$ '( % 1')
(). Tic7ets numbered rom 1 to (5 are mi+ed up to!ether and then a tic7et is drawn at random. The probability that the tic7et has a number which is a multiple o ' or 0 is #a$ 1%)
#b$ (%)
#c$ '%)
#d$ ,%)