Advertisements
Advertisements
प्रश्न
Two different dice are rolled simultaneously. Find the probability that the sum of the numbers on the two dice is 10.
उत्तर
When two different dice are thrown, then total number of outcomes = 36.
Let E1 be the event of getting the sum of the numbers on the two dice is 10.
These numbers are (4, 6), (5, 5) and (6, 4).
Number of Favourable outcomes = 3
∴ P(getting the sum of the numbers on the two dice is 10) `= P(E_1)= "Number of outcomes favourable to" E_1/Number of all possible `
`=3/356 = 1/12`
`= 1/12`
Thus, the probability of getting the sum of the numbers on the two dice is 10 is `1/12`
APPEARS IN
संबंधित प्रश्न
Two coins are tossed simultaneously. Write the sample space ‘S’ and the number of sample points n(S). Write the following events using set notation and mention the number of elements in each of them:-
(a) A is the event of getting at least one head.
(b) B is the event of getting exactly one head
A card is drawn at random from a well-shuffled deck of playing cards. Find the probability that the card drawn is a card of spade or an ace.
In a school, students decided to plant trees in and around the school to reduce air pollution. It was decided that the number of trees, that each section of each class will plant, will be double of the class in which they are studying. If there are 1to 12 classes in the school and each class has two sections, find how many trees were
planted by the students. Which value is shown in this question?
Two different dice are rolled together. Find the probability of getting the sum of numbers on two dice to be 5.
A card is drawn at random from a well shuffled pack of 52 playing cards. Find the probability that the drawn card is neither a king nor a queen ?
Two dice are thrown together. The probability of getting the same number on both dice is.
A card is drawn at random from a well shuffled pack of 52 playing cards.
Find the probability that the card drawn is a spade.
A box contains 20 cards numbered from 1 to 20. A card is drawn at random from the box. Find the probability that the number on the drawn card is a prime number
All red face cards are removed from a pack of playing cards. The remaining cards are well shuffled and then a card is drawn at random from them. Find the probability that the drawn card is a face card and
A number is selected at random from the numbers 1 to 30. The probability that it is a prime number is
What is the probability that a non-leap year has 53 Sundays?
A piggy bank contains hundred 50 p coins, seventy ₹1 coin, fifty ₹2 coins and thirty ₹5 coins. If it is equally likely that one of the coins will fall out when the bank is turned upside down, what is the probability that the coin will be a ₹1 coin?
All kings, queens and aces are removed from a pack of 52 cards. The remaining cards are well-shuffled and then a card is drawn from it. Find the probability that the drawn card is a black face card.
A bag contains 4 red and 6 black balls. A ball is taken out of the bag at random. What is the probability of getting a black ball?
A balloon vendor has 2 red, 3 blue and 4 green balloons. He wants to choose one of them at random to give it to Pranali. What is the probability of the event that Pranali gets, a green balloon.
A bag contains 15 balls, out of which some are white and the others are black. If the probability of drawing a black ball at random from the bag is `2/3`, then find how many white balls are there in the bag.
Two coins are tossed together. Find the probability of getting: at least one head
You are walking along a street. If you just choose a stranger crossing you, what is the probability that his next birthday will fall on a Sunday?
Frame two problems in calculating probability, based on the spinner shown here.
A coin is tossed 12 times and the outcomes are observed as shown below:
The chance of occurrence of Head is
