English

Two Dice Are Thrown at the Same Time. Find the Probability that the Sum of the Two Numbers Appearing on the Top of the Dice Is: Less than Or Equal to 12 - Mathematics

Advertisements
Advertisements

Question

Two dice are thrown at the same time. Find the probability that the sum of the two numbers appearing on the top of the dice is:  less than or equal to 12

Sum

Solution

Total outcomes = 36 i.e.

(1,1)(1,2)(1,3)(1,4)(1,5)(1,6)

(2,1)(2,2)(2,3)(2,4)(2,5)(2,6)

(3,1)(3,2)(3,3)(3,4)(3,5)(3,6)

(4,1)(4,2)(4,3)(4,4)(4,5)(4,6)

(5,1)(5,2)(5,3)(5,4)(5,5)(5,6)

(6,1)(6,2)(6,3)(6,4)(6,5)(6,6)

Favourable outcomes = 36 

P(E) = `36/36 = 1`

shaalaa.com
  Is there an error in this question or solution?
Chapter 23: Probability - Exercise 23 [Page 259]

APPEARS IN

Selina Concise Mathematics [English] Class 8 ICSE
Chapter 23 Probability
Exercise 23 | Q 16.4 | Page 259

RELATED QUESTIONS

If two different dice are rolled together, the probability of getting an even number on both dice, is:

(A) 1/36
(B) 1/2
(C) 1/6
(D) 1/4


A card is drawn at random from a well-shuffled deck of playing cards. Find the probability that the card drawn is either a king or a queen.


A Group consists of 12 persons, of which 3 are extremely patient, other 6 are extremely honest and rest are extremely kind. A person from the group is selected at random. Assuming that each person is equally likely to be selected, find the probability of selecting a person who is (i) extremely patient (ii) extremely kind or honest.

Which of the above values you prefer more?


Choose the correct alternative answer for the following question.

A die is rolled. What is the probability that the number appearing on upper face is less than 3 ?


A black die and a white die are thrown at the same time. Write all the possible outcomes. What is the probability?

that the difference of the numbers appearing on the top of two dice is 2. 


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


A bag contains 3 red and 5 black balls. A ball is drawn at random from the bag. What is the probability that the ball drawn is not red. 


It is known that a box of 200 electric bulbs contains 16 defective bulbs. One bulb is taken out at random from the box. What is the probability that the bulb drawn is  non-defective.


A die is thrown once. The probability of getting an even number is


A game consists of tossing a coin 3 times and noting the outcome each time. If getting the result in the tosses is a success, find the probability of losing the game. 


In a certain race, there are three boys X,Y, Z. The winning probability of X is twice than Y and the winning probability of Y is twice than Z. If P(X) + P(Y) + P(Z) = 1, then find the winning probability of each girl.


Three different coins are tossed simultaneously. Find the probability of getting exactly one head.


In a single throw of a die, find the probability of getting a number
(i) greater than 2
(ii) less than or equal to 2
(iii) not greater than 2.


From 10 identical cards, numbered 1, 2, 3, ……, 10, one card is drawn at random. Find the probability that the number on the card drawn is a multiple of

2


From 10 identical cards, numbered 1, 2, 3, ……, 10, one card is drawn at random. Find the probability that the number on the card drawn is a multiple of

2 and 3


A die is thrown once. Find the probability of getting:

a number greater than 3


When two coins are tossed, what is the probability that two heads are obtained?


A man is known to speak the truth 3 out of 4 times. He throws a die and a number other than six comes up. Find the probability that he reports it is a six.


Each outcome or a collection of outcomes in an experiment makes an ______.


At a Birthday Party, the children spin a wheel to get a gift. Find the probability of getting a toy car


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×