The integers from 1 to 30 are written on chits of paper (one number on each chit). These chits are then put in a box and well mixed. Ramesh picks up one chit. What is the probability that his chit has

(i) the number 5

(ii) an odd number

(iii) a prime number

In a single throw of two dice, find the probability of getting the sum of numbers appearing on the two dice.

(i) greater than 8

(ii) Less than or equal to 12

(iii) equal to 7

(iv) divisible by 3 or 4

Two dice are rolled together. Write all the possible outcomes and find the probability of getting

(i) a number greater than 4 on each die.

(ii) a doubtlet (the same number appearing on each of the die)

Prakash draws a card from a well-shuffled deck of 52 cards. What is the probability that he draws

(i) a king (ii) a red card (iii) a diamond (iv) the six of spade

There are 40 students in class X of a school of whom 25 are girls, and 15 are boys. The class teacher has to select one student as a class representative. She writes the name of each student on a separate card, the cards being identical. Then she puts the cards in a bag and mixes them thoroughly. She then draws one card from the bag. What is the probability that the name is written on the card is the name of

(i) a girl? (ii) a boy?