Urgently solve

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1).if p investd 10% simple interest & q invest 5% compounded annualy after two years p & q interests are sum then

ans:p = 41q/80.

2).if there are 3 white,2 black balls in urn 1& 4 white,6 black balls in urn 2.if one ball is taken from urn 1 & transferred to urn 2 then probability that the ball drawn from urn 2 is white is

ans: 23/55.

3).an urn contains 3 white,5 black & another urn contains 4 white,2 black.one ball is drawn from each of the bag find the probability of getting both white balls.

ans: 1/4.

4).a bag contains 5 red,4 blue, & M green balls if the probability of getting both the balls green,when two balls are selected at random is 1/7,find M.

ans: 6.

5).the probability that a girl student gets scholarship is 0.6 & that of a boy is 0.8,then probability that at least one gets the scholarship is

ans: 0.92.

6).postal index number established ?

(a).1970, (b).1972,(c).1974,(d).1980.

Replies (1)

1.S.i.= (P* 10*2)/100

c.i.= q(1+5/100)^2 - q

 

S.i.=c.i.

p/5=q(21/20)(21/20)-q

p/5=q*441/400-q

   =q(441-400)/400

p   =q * 41*5/400

p=q*41/80

 

2.prob of getting white ball from urn 1 = 3/5 and simaltaneously getting a white ball from seconf wrn is 5/11

Prob of gettingblack ball from urn 1 = 2/5 and simaltaneously getting a white ball from seconf wrn is 4/11

therefore, total prob of getting a white ball is= (3/5 * 5/11) +(2/5 * 4/11)  =  23/55

3.Prob of getting white ball from bag 1 = 3/8 and getting a white ball from seconf bag is 4/6

prob of getting both white ball = 3/8 * 4/6 = 1/4

4..Prob of getting 1st green ball from bag =m/9+m,

Prob of getting 2nd green ball from bag =m-1 / 9+m-1,  

total prob = (m/9+m)*(m-1 / 9+m-1)=1/7 (given)

solving the equation m=6 or -2

as it cant be -2, correct ans is 6

5.prop of atleast one getting scholarship =1- prob of none getting scholarship

prob of a girl child not getting scholarship=.4(1-.6)

prob of  a boy child not getting scholarship= .2(1-.8)

prob od none getting a scholarship= .4*.2=.08

prop of atleast one getting scholarship =1- .08 = .92

 

 

 

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