Question

21. Rajesh and Mahesh are playing a game. In this game, each player throws two dice and note down the numbers on the dice. By the rules of the game, Mahesh needs to get two numbers such that their product is a perfect square, in order to win the game. What is the probability that Mahesh will win the game? 1 2 (b) 9 9 (a) (C) (d) 3 7​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Given: Rajesh and Mahesh are playing a game. In this game, each player throws two dice and notes down the numbers on the dice. By the rules of the game, Mahesh needs to get two numbers such that their product is a perfect square, in order to win the game.

To find: What is the probability that Mahesh will win the game?

Solution:

If two dices are being rolled at the same time,

So the total number of outcomes or sample space = 6 × 6 = 36

The required event is getting two numbers such that their product is a perfect square.

So, the favorable outcomes will be (1,1), (1,4), (4,1), (2,2), (3,3), (4,4), (5,5) and (6,6).

⇒ Number of favorable outcomes = 8

Now, the probability of getting two numbers whose product is a perfect square = $\frac{8}{36}$ = $\frac{2}{9}$

Thus, the probability that Mahesh will win the game = $\frac{2}{9}$.