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प्रश्न
Two dice are thrown together. The probability of getting the difference of numbers on their upper faces equals to 3 is ______.
पर्याय
`1/9`
`2/9`
`1/6`
`1/12`
उत्तर
Two dice are thrown together. The probability of getting the difference of numbers on their upper faces equals to 3 is `underlinebb(1/6)`.
Explanation:
When two dice are thrown,
The sample space (S) =
{(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)}
∴ n(S) = 36
Let A: Event of getting the numbers whose difference is 3.
∴ A = {(1, 4), (2, 5), (3, 6), (4, 1), (5, 2), (6, 3)}
n(A) = 6
∴ Required probability = `(n(A))/(n(S))`
= `6/36`
= `1/6`
संबंधित प्रश्न
A box contains 90 discs which are numbered from 1 to 90. If one disc is drawn at random from the box, find the probability that it bears a two-digit number.
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In a simultaneous throw of a pair of dice, find the probability of getting a number other than 5 on any dice.
One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting a red face card.
A bag contains 3 red balls, 5 black balls and 4 white balls. A ball is drawn at random from the bag. What is the probability that the ball drawn is Red
How many possibilities is following?
Any day of a week is to be selected randomly.
A card is drawn from a pack of well - shuffled 52 playing cards . Find the probability that the card drawn is
(iv) an ace or a queen
A die has its six faces marked 0, 1, 1, 1, 6, 6. Two such dice are thrown together and the total score is recorded. How many different scores are possible?
At a fete, cards bearing numbers 1 to 1000, one number on one card, are put in a box. Each player selects one card at random and that card is not replaced. If the selected card has a perfect square greater than 500, the player wins a prize. What is the probability that the second player wins a prize, if the first has won?
The table given below shows the months of birth of 36 students of a class:
| Month of birth |
Jan. | Feb. | Mar. | Apr. | May | June | July | Aug. | Sept. | Oct. | Nov. | Dec. |
| No. of students |
4 | 3 | 5 | 0 | 1 | 6 | 1 | 3 | 4 | 3 | 4 | 2 |
A student is choosen at random. Fill in the boxes.
Total number of students = `square`
Let E be the event that the selected student is born in June.
Then,
Number of times event E occurs = `square`
So, P (selected student is born in June)
P(E) = `"Number of students born in June"/square`
= `square/square`
= `square`
