DEFINITION: The term ‘probably’ ‘in all likelihood’ , ‘ chance’ ,’odds in favor’ , odds against’ are too familiar nowadays and they have their origin in a branch of mathematics, known as probability.
Results
#1. Initially, probability was a branch of
Initially, probability was a branch of mathematics
so mathematics is correct answer
#2. When the number of cases favourable to the event A=0 then P(A) is equal to
When P(A) =0 is known to be an impossible event
#3. Two board divisions of probability are
Two board divisions of probability are Subjective probability and objective probability. Subjective probability is basically dependent on personal judgement and experience
#4. If P(A) =P(B) , then
#5. In a single throw with two dice the probability of getting a sum of five on the two dice is
two dice -> 6*6= 36
(E)= {(2,3) (3,2)(4,1)(1,4)}
P(E)= 4/36
= 1/9
#6. The probability that exactly one head appears in a single throw of two fair coins is
(E) {(H,T)(H,H)(T,H)(T,T)}
one head appear in single throw
P(E)=3/4
#7. The probability of an event can assume any value between
#8. If P(A) = P(B), then the two events A and B are
#9. Two unbiased coins are tossed. The probability of obtaining ‘both heads’ is
HInt
(E)={(H,H)(H,T)(T,H)(T,T)}
p(E)=1/4
#10. A bag contains 6 white and 5 black balls. One ball is drawn. The probability that it is White is
White balls =6
black balls =5
Total balls = 11
P(white balls)= 6/11
#11. The probability space in tossing two coins is
Two coins = head or tail
correct answer is ={(H,H)(H,T)(T,H)(T,T)}
#12. 4 coins are tossed. The probability that there are 2 heads is
(4)²=16
(E)= (H,H,T,T)(H,T,H,T)(T,T,H,H)(T,H,T,H)(H,T,T,H)(T,H,H,T)
(E)=6/16
=3/8
correct answer is =3/8
#13. The family has 2 children. The probability that both of them are boys if it is known that one of them is a boy
children =2
one of them is a boy
probability of boy =1/2
#14. The expected Number of head in 100 tosses of an unbiased coin is
#15. What is the probability that a leap year selected at ranodom would contain 53 Saturdays
common years days = 365
leap year days =366
366/7= 52.2
That means 52 weeks and 2 days
Total possibility are
{(Sunday,Monday)(Monday,Tuesday)(Tuesday, Wednesday)(Wednesday,Thursday)(Thursday ,Friday)(Friday,Saturday)(Saturday,Sunday)}
There are 7 possibility
favorable outcome= 2(Saturday, Sunday) (Sunday,Monday)
P(E)=2/7
#16. What is the chance of throwing at least 7 in a single cast with 2 dice?
Total number of dice=6*6
=36
Throwing at least 7 with 2 dice will have 21
(E)={(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,3),(4,4),(4,5),(4,6),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5) & (6,6)}
the required probability is 21/36 = 7/12
#17. A card is drawn from a well – shuffled pack of playing cards. The probability that is a king is
favourable case =4C1
Total number of ways =52
P(king)= 4/52
1/13
correct answer is = 1/13
#18. An experiment is known to be random if the results off the experiment
#19. What is the chance of picking a spade or an ace not of spade from a pack of 52 card ?
A pack of 52 cards contain
13 Spades,13 Hearts,13 Clubs and 13 Diamonds.
Total number of events is 52
16 are favorable to the events A representing picking a spade or an ace not of spade
p(A)=16/52
= 4/13 is correct answer