Advertisements
Advertisements
प्रश्न
A die is thrown. If A is the event that the number on upper face is less than 5, then write sample space and event A in set notation.
उत्तर
The sample space (S) is
S = {1, 2, 3, 4, 5, 6}
No. of sample points = n(S) = 6
Let A be the event of getting numbers less than 5.
∴A = {1, 2, 3, 4}
⇒ n(A) = 4
APPEARS IN
संबंधित प्रश्न
A card is drawn from the pack of 25 cards labeled with numbers 1 to 25. Write the sample space for this random experiment.
A die is thrown, find the probability of the event of getting a number less than 3.
In a single throw of a dice, find the probability of getting a number greater than 4.
A dice is thrown once. Find the probability of getting an even number.
For the following experiment write sample space ‘S’ and number of sample points n(S).
Two-digit numbers are formed using digits 2, 3 and 5 without repeating a digit.
Write sample space ‘S’ and number of sample point n(S) for the following experiment. Also write events A, B, C in the set form and write n(A), n(B), n(C).
One die is rolled,
Event A : Even number on the upper face.
Event B : Odd number on the upper face.
Event C : Prime number on the upper face.
Write sample space ‘S’ and number of sample point n(S) for the following experiment. Also write events A, B, C in the set form and write n(A), n(B), n(C).
Three coins are tossed simultaneously.
Condition for event A : To get at least two heads.
Condition for event B : To get no head.
Condition for event C : To get head on the second coin.
If two coins are tossed, find the probability of the following event.
Getting no head ?
If two dice are rolled simultaneously, find the probability of the following event. The sum of the digits on the upper faces is 33.
There are 15 tickets in a box, each bearing one of the numbers from 1 to 15. One ticket is drawn at random from the box. Find the probability of event that the ticket drawn - shows a number which is a multiple of 5.
A two digit number is formed with digits 2, 3, 5, 7, 9 without repetition. What is the probability that the number formed is an odd number?
A die is thrown. Write the sample space. If P is the event of getting an odd number, then write the event P using set notation.
Two dice are thrown, find the probability of getting
(1) The sum of numbers on their upper faces is at least 10.
(2) The sum of the numbers on their upper faces is divisible by 5.
(3) The number on the upper face of the first die is greater than the number on the upper face of the second die.
Write a sample space if two coins are tossed simultaneously
Two coins are tossed simultaneously. Write the sample space (S) and expected sample points in the given events by completing the activity.
- Event A: to get at least one head.
- Event B: to get no head.
Activity: Let ‘S’ be the sample space, when two coins are tossed simultaneously.
∴ S = `{square, HT, TH, square}`
i. Event A: to get at least one head.
∴ A = `{HH, square, TH}`
ii. Event B: to get no head.
∴ B = `{square}`.
Two coins are tossed simultaneously. The probability of getting at the most one head is ______.
If one coin is tossed, write the sample space ‘S’.
Assertion (A): A die is thrown once and the probability of getting an even number is `2/3`.
Reason (R): The sample space for even numbers on a die is {2, 4, 6}.
