A bag contains 50 tickets numbered 1,2,3,4......50 of which five are drawn at ra

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Question
A bag contains 50 tickets numbered 1,2,3,4......50 of which five are drawn at random and arranged in ascending order of magnitude.Find the probability that third drawn ticket is equal to 30.
Options
A. 551/15134
B. 1/2
C. 552/15379
D. 1/9

Correct Answer

551/15134

Explanation

Total number of elementary events = $50 C_{5}$
Given,third ticket =30

=> first and second should come from tickets numbered 1 to 29 = $29 C_{2}$ ways and remaining two in $20 C_{2}$ ways.

Therfore,favourable number of events = $29 C_{2} * 20 C_{2}$

Hence,required probability = $29 C_{2} * 20 C_{2}$ $/ 50 C_{5}$ =551 / 15134

1.
Aarti can do a piece of work in 6 days. In how many days will she complete three time of work of same type?
Options
A. 18 days
B. 21 days
C. 3 days
D. 6 days

5.
Two vessels A and B contains milk and water mixed in the ratio 5 : 3 and 2 : 3. When these mixtures are mixed to form a new mixture containing half milk and half water, they must be taken in the ratio ?
Options
A. 2 : 5
B. 3 : 5
C. 4 : 5
D. 7 : 3

7.
A tree is 12 m tall and casts an an 8 m long shadow. At the same time, a flag pole caste a 100 m long shadow. How long is the flag pole?
Options
A. 150 m
B. 200 m
C. 125 m
D. 115 m

9. A certain amount earns simple interest of Rs. 1750 after 7 years. Had the interest been 2% more, how much more interest would it have earned?
Options
A. Rs. 35
B. Rs. 245
C. Rs. 350
D. Cannot be determined
E. None of these

10.
If the hands of a clock coincide in every 65 minutes (true time), in 24 hours the clock will gain:
Options
A. 10 10 minutes. 143
B. 9 12 minutes. 143
C. 11 12 minutes. 143
D. 12 10 minutes. 143

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