- Ticket numbered from 1 to 30 are mixed up and a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 4 or 6.

A) 6/13

B) 3/10

C) 5/9

D) 1/10

E) None

- The probability of success of three students A, B and C in the one examination are 1/5, 1/4 and 1/3 respectively. Find the probability of success of at least two.

A) 2/3

B) 2/6

C) 1/6

D) 1/3

E) None

- A Bag contains 100 balloons, numbered from 1 to 100. If three balloons are selected at random and with replacement from the bag, what is the probability that the sum of the three numbers on the balloons selected from the bag will be odd?

A) 1/2

B) 1/4

C) 2/3

D) 1/5

E) None

- The probability of occurrence of two events A and B are 1/5 and 1/3 resp. the probability of their simultaneous occurrence is 6/35. find the probability that either A or B must occur.

A) 44/110

B) 52/105

C) 49/120

D) 38/105

E) None

- In a race, the odd favour of race bike A,B,C,D are 1:2, 1:3, 1:4 and 1:5 respectively. Find the probability that one of them wins the race.

A) 48/60

B) 57/60

C) 52/60

D) 59/60

E) None

- In a party there are 6 couples. Out of them 5 people are chosen at random. Find the probability that there are at the least two couples ?

A) 4/33

B) 8/25

C) 5/33

D) 6/21

E) None

- Out of 25 applicants 13 boys and 12 girls. Two persons are to be selected for the job. Find the probability that at least one of the selected persons will be a boy.

A) 32/50

B) 42/50

C) 39/50

D) 28/50

E) None

- A coin is tossed twice if the coin shows head it is tossed again but if it shows a tail then a die is tossed. If 8 possible outcomes are equally likely. Find the probability that the die shows a number greater than 4, if it is known that the first throw of the coin results in a tail.

A) 2/3

B) 1/4

C) 2/5

D) 1/3

E) None

**Directions (9-10):** A, B and C try to hit a target. A can hit the target 1 times in 3 shorts, B 3 times in 5 shots and C 2 times in 5 shots. Find the probabilities of following events:

- Two of them hit

A) 7/9

B) 2/3

C) 1/3

D) 1/5

E) None

- Two at least hit

A) 12/17

B) 3/5

C) 5/9

D) 31/75

E) None

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T.Y.

n(s)=30

Multiple of 4 ={4,8,12,16,20,24,28}

Multiple of 6={6,12,18,24,30}

30 is also a multiple of 6 do 30 should be included.

Then n(e)={4,6,8,12,16,18,20,24,28,30}|

P=n(e)/n(s)=10/30=1/3.

yes. why did the exclude the 30

%.

thanks:)