Urgently solution of probability

1).if p invested 10% si & q invest 5% compounded annualy after 2 yrs p & q interests are sum then

ans: p = 41q/80.

2).if there are 3 white,2 black ballss 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 (6)

Postal Index Number established in the year 1972.

are you asking for answer but you have given all the answers.

job in ranchi

2. 

!st case- if whote ball is transferred- P= 3/5 * 5/11 = 15/55

2nd case- If blck ball transfrred= P= 2/5 * 4/11 = 8/55

 

Total P = 23/55

3. P = 3/8 * 4/ 6 = 1/4

 

P= 1/7 = MC2/(9+M)C2

Solve and get 1/7= M(M-1)/(9+M)(9+M-1)

So, M= 6

Probablitity that none will get= (1-0.6) *(1-0.8)= 0.08

So , p that at least 1 will get = 1 - 0.08 = 0.92

Do ask me if u have some doubt....

 

Good luck

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