Direction for Q1 to Q3
Three mountaineers A, V and N are climbing up a mountain with their respective probabilities of reaching the summit being 1/3, 1/5 and 1/4 respectively.
What is the probability that

Q1. All of them reach the summit?
a. 3/60
b. 1/60
c. 1
d. 0

Q2. At least one of them reaches the summit?
a. 59/60
b. 36/60
c. 17/60
d. 1/60

Q3. Exactly one of them reaches the Summit?
a. 13/30
b. 17/30
c. 19/30
d. 11/30

Q4. There are hundred tickets numbered 00, 01, 02. . . . 99. One ticket is selected at random. If s is defined as sum of digits and y as product of the digits, what is the probability that the selected tickets had the value x = 9, y =0 ?
a. 1/19
b. 2/19
c. 2/100
d. 1/6

Q5. Three natural numbers are taken at random from the set A ={x|x , 1 =< x =< 100, x E N}.
The probability that the AM of the numbers taken is 25 is ?
a. C (77, 2) / C (100, 3)
b. C (25, 2) / C (100, 3)
c. C (74, 72) / C (100, 3)
d. None of these

Q6.  A contest of predicting the result (win, draw, loss) of 10 cricket matches is conducted. What is the probability that an entry contains at least 9 correct answers?
a. 20/3^10
b. 7/3^9
c. 13/3^8
d. None of these

Q7. The probability of a number n showing in a throw of a dice marked 1 to 6 is proportional to n, then the probability of the number 3 showing in throw is
a. 1/2
b. 1/6
c. 1/7
d. 1/21