Kerala Board Solutions for Chapter: Mathematics of Chance, Exercise 3: Exercise 3

Rajani has three necklaces and three pairs of earrings, of green, blue and red stones. In what all different ways can she wear them? What is the probability of her wearing the necklace and earrings of the same colour? Of different colours?

A box contains four slips numbered $1, 2, 3, 4$ and another box contains two slips numbered $1, 2$. If one slip is taken from each, what is the probability of the sum of numbers being odd? What is the probability of the sum being even?

A box contains four slips numbered $1, 2, 3, 4$ and another contains three slips numbered $1, 2, 3$. If one slip is taken from each, what is the probability of the product being odd? The probability of the product being even?

From all two-digit numbers with either digit $1, 2,$ or $3$ one number is chosen. What is the probability of both digits being the same?

From all two-digit numbers with either digit $1, 2,$ or $3$ one number is chosen. What is the probability of the sum of the digits being $4$?

A game for two players. First, each has to decide whether he wants odd number or even number. Then both raises some fingers of one hand. If the sum is odd, the one who chose odd at the beginning wins; if it is even the one who chose even wins. In this game, which is the better choice at the beginning, odd or even?