There are eight girls among whom two are sisters, all of them are t sit on a round table. Find the probability that the two sisters do not sit together.
1 Answers
Talk Doctor Online in Bissoy App
Dheeraj has twice as many sisters as he has brothers. If Deepa, Dheeraj’s sister has the same number of brothers as she has sisters,
Correct option is (A) 3 Let Dheeraj has x brothers and y sisters. \(\therefore\) y = 2x ______________(1) Deepa is Dheeraj’s sister. \(\therefore\) Deepa has (x+1) brothers and (y - 1) sisters. \(\therefore\) x+1 = y -...
2 Answers 1 views
Dheeraj has twice as many sisters as he has brothers. If Deepa, Dheeraj’s sister has the same number of brothers as she has sisters,
2 Answers
1 views
If the ratio of boys to girls in a class is B and the ratio of girls to boys is G, then B+G is ………
Correct option is (B) greater than 1 Let there are x number of girls and y number of boys in the class. The ratio of boys to girls in the class is B. \(\therefore\) \(\frac...
2 Answers 1 views
If A and B are two independent events, the probability that both A and B occur is 1/8 are the probability that neither of them occours is 3/8. Find th
We have, `P(AnnB)=1/8and P(barAnnbarB)=3/8` `thereforeP(A)P(B)=1/8and P(barA)P(barB)=3/8` `" "[therefore"A and B are independent"]` Now, `P(barAnnbarB)=3/8` `implies1-P(AnnB)=3/8` `or 1-(P(A)+P(B)-P(AnnB))=3/8` `or1-(P(A)+P(B))+1/8=3/8` `orP(A)+P(B)=3/4` The equation whose roots are P(A) and P(B) is `x^(2)-x{P(A)+P(B)}+P(A)P(B)=0` `or...
2 Answers 1 views
m balls are distributed among a boys and b girls. Prove that the probability that odd numbers of balls are distributed to boys is `((b+a)^m - (b+a)^m)
Suppose than p and q, respectively, denote the probabilities that a thing goes to a man and a women. `p=(a)/(a+b)and q=(b)/(a+b)` Now, the probabilities of 0,1,2,3,… thing going to men...
2 Answers 1 views
A man takes a step forward with probability 0.4 and backward with probability 0.6. Find the probability that at the end of 5 steps, he is one step awa
The man can be one stap away from the statting point if (i) either he is one stgep aheld or (ii) one step behind the starting point. Now if at...
2 Answers 1 views
A class consists of 80 students, 25 of them are girls and 55 are boys. If 10 of them are rich and the remaining are poor and also 20 of them are intel
Correct Answer - C Total number of the students is 80. Total number of boys is 55. Therefore are 10 rich, 70 por, 20 intelligent students in the class. Therefore, required...
2 Answers 1 views
Let E and F be two independent events. The probability that exactly one of them occurs is `11//25` and the probability of none of them occurring is `2
Correct Answer - A::D Let `P(E)=eand P(F)=f` `P(EuuF)-P(EnnF)=11/25` `impliese+f-2ef=11/25" "(1)` `P(barEnnbarF)=2/25` `implies(1-e)(1-f)=2/25" "(2)` From (1) and (2), `ef=12/25and e+f=7/5` Solving, we get `e=4/5,f=3/5or e=3/5,f=4/5`
2 Answers 1 views
Five oys and three girls are sitting in a row of `8` seats. Number of ways in which they can be seated so that not all the girls sit side by side is
Correct Answer - A `(a)` Total no. of arrangement if all the girls do not seat side by side `=["all arrangement"-"girls seat side by side"]` `=8!-(6!xx3!)` `=6!(56-6)=6!xx50` `=720xx50=36000`
2 Answers 1 views
The number of ways in which six boys and six girls can be seated at a round table so that no two girls sit together and two particular girls do not si
Correct Answer - C `(c )` The boys can be seated in `5!` ways. If the girls `g_(1)` and `g_(2)` do not want to sit by the side of `A_(1)` (say)....
2 Answers 1 views