Why is tossing a coin considered to be a fair way of deciding which team should get the ball at the beginning of a football game?

2

(a)

It is given that in a group of 3 students, the probability of 2 students not having the same birthday is 0.992. What is the probability that the 2 students have the same birthday?

2

(a)

A die is thrown once. Find the probability of getting

(i) a prime number.  (ii) a number lying between 2 and 6.

(iii) an odd number

2

(a)

A box contains 90 discs which are numbered from 1 to 90. If one disc is drawn at random from the box, find the probability that is bears

(i) a two digit number     (ii) a perfect square number

(iii) a number divisible by 5

2

(a)

A die is thrown twice. What is the probability that

(i) 5 will not come up either time?     (ii) 5 will come up at least once?

[Hint: Throwing a die twice and throwing two dice simultaneously are treated as the same experiment.]

2

(a)

A pair of dice is thrown once. Find the probability of getting the same number on each dice.

2

(a)

A man is known to speak truth 5 out of 7 times. He throws a die and a number other than six comes up. Find the probability that he reports it is a six.

2

(a)

A die is thrown once. What is the probability of getting a number greater than 4?

2

(a)

A letter of English alphabet is chosen at random. Determine the probability that the chosen letter is a consonant.

2

(a)

Find the probability that a leap year should have exactly 52 tuesday.

2

(a)

The king, queen and jack of clubs are removed from a deck of 52 playing cards and the remaining cards are shuffled. A card is drawn from the remaining cards. Find the probability of getting a card of

(i) heart  (ii) queen   (iii) clubs

2

(a)

A bag contains 5 red balls, 8 white balls, 4 green balls and 7 black balls. If one ball is drawn at random, find the probability that it is (i) black (ii) red (iii) not green.

2

(a)

At a fete, cards bearing numbers 1 to 1000, one number on one card, are put in a box. Each player select one card at random and that card is not replaced. If the selected card has a perfect square greater than 500, the player wins a prize. What is the probability that
(i) the first player wins a prize?
(ii) the second player wins a prize, if the first has won?

2

(a)

A coin is tossed two times. Find the probability of getting at least one head.

2

(a)

1000 tickets of a lottery were sold and there are 5 prizes on these tickets. If John has purchased one lottery ticket, what is the probability of winning a prize?

2

(a)