16

Q1.

Solution

Q2.

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Q3.

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Q4.

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Q5.

Solution

so the required probability is 

Q6. From the digits 0, 1, 3, 5 and 7, number greater than 5000 but of 4 digits are formed. What is the probability that the number formed is divisible by 5, if(i) The digits are repeated (ii) The digits are not repeated

Solution

Q7.

Solution

Q8.

Solution

Q9. What is the number of ways of choosing 4 cards from a pack of 52playing cards? In how many of these(i) Four cards are of the same suit,(ii) Four cards belong to four different suits,(iii) Are face cards,(iv) Two are red cards and two are black cards

Solution

Q10.

Solution

Q11.

Solution

Q12.

Solution

Q13.

Solution

Q14. Two persons A and B appear in an interview for two vacancies available. The chance of A's selection is and that of B's selection is . What is the chance that (i) both are selected? (ii) both are rejected? (iii) only one of them is selected? (iv) at least one of them is selected? Name two qualities for a person to possess, while appearing for an interview.

Solution

Let P(A) = and P(B) = Then, and (i) P(both are selected) = (ii) P(both are rejected) = (iii) P(only one of them selected) = P(A is selected and B is rejected or A is rejected and B is selected) = p₁ q₂ + q_{1 x} p₂ (iv) P(at least one is selected) = 1 - P(both are rejected) Success is the one thing which everyone wants. For success one has to be self reliant, courageous, honest, and cooperative.

Q15.

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Q16.

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Q17. What is the probability that two friends will have the same birthday?

Solution

Q18. There are three coloured dice of red, white and black colour. These dice are placed in a bag. One dice is drawn at random from the bag and rolled. Its colour and the number on its uppermost face is noted. Describe the sample space for this experiment. 

Solution

Q19. A coin is tossed twice, find the probability of getting atleast one head.

Solution

Q20. An administration assistant is given three letters written for three different people. He is also given three addressed envelopes in which to put them and mail them to three people X, Y and Z. What is the probability that atleast one person out of X, Y and Z got the letter written to him.

Solution

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