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# NDA || Mathematics || Probability- Class Test || Quiz

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Question 1

In a game called ‘odd man out’ m(m>2) persons toss a coin to determine who will buy refreshments for the entire group. A person who gets an outcome different from that of the rest of the members of the group is called the odd man out. The probability that there is a loser in any game is

Question 2

From a set of 40 cards numbered 1 to 40, 5 cards are drawn at random and arranged in ascending order of magnitude  . The probability , is

Question 3

The probability of India winning a test match against England is . Assuming independence from match to match, the probability that in a 7 match India’s third win occurs at the fifth match, is

Question 4

A problem is given to three students A, B and C whose probability of solving the problem are  and  respectively. What is the probability that the problem will be solved if they all solve the problem independently?

Question 5

A and B are two events such that  are mutually exclusive. If P(A) = 0.5 and P(B) = 0.6, then what is the value of  ?

Question 6

If in two events A and B, , , then  is equal to:

Question 7

The probability of occurrence of two event E and F are 0.25 and 0.50 respectively. The probability of their simultaneous occurrence is 0.14. find the probability that neither E occurs nor F occurs:

Question 8

The probability that Krishna will be alive 10 years, is 7/15 and that Hari will be alive 7/10. What is the probability that Hari and Krishna will be dead 10 years hence:

Question 9

Two Dice are thrown. What is the probability that sum of the numbers appearing on the dice is 9?

Question 10

A machine has three parts, A, B and C, whose chances of being defective are 0.02, 0.10 and 0.05 respectively. The machine stops working if any one of the parts becomes defective. What is the probability that the machine will not stop working?
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