Q. 194.5( 6 Votes )

# Two dice are thrown at the same time. Find the probability of getting

(i) same number on both dice.

(ii) different number on both dice.

Answer :

Two dice are thrown at the same time.

[given]

So, total number of possible outcomes = 36

(i) We have, same number on both dice.

So, possible outcomes are (1,1), (2,2), (3, 3), (4, 4), (5, 5) and (6, 6).

∴ Number of possible outcomes = 6

Now, required probability = 6/36 = 1/6

(ii) We have different number on both dice.

So, number of possible outcomes

= 36 – Number of possible outcomes for same number on both dice

_{= 36 - 6 = 30}

∴ Required probability = 30/36 = 5/6

Rate this question :

Two dice are thrown at the same time. Determine the probability that the difference of the numbers on the two dice is 2.

NCERT - Maths ExemplarTwo dice are thrown at the same time and the product of numbers appearing on them is noted. Find the probability that the product is less than 9.

NCERT - Maths ExemplarIf P(E) denotes the probability of an event E then

RS Aggarwal - MathematicsThere are 20 tickets numbered as 1, 2, 3, ...., 20 respectively. One ticket is drawn at random. What is the probability that the number on the ticket drawn is a multiple of 5?

RS Aggarwal - MathematicsOne ticket is drawn at random from a big containing tickets numbered 1 to 40. The probability that the selected ticket has a number, which is a multiple of 7, is

RS Aggarwal - MathematicsA number is selected at random from the numbers 1 to 30. What is the probability that the selected number is a prime number?

RS Aggarwal - MathematicsA box contains cards numbered 6 to 50. A card is drawn at random from the box. Calculate the probability that the drawn card has a number which is a perfect square.

Mathematics - Board PapersA die is thrown once. The probability of getting an odd number greater than 3 is

RS Aggarwal - Mathematics