Advertisements
Advertisements
प्रश्न
A two digit number is formed with digits 2, 3, 5, 7, 9 without repetition. What is the probability that the number formed is a multiple of 5 ?
उत्तर
Sample Space (S) = {23, 25, 27, 29, 32, 35, 37, 39, 52, 53, 57, 59, 72, 73, 75, 79, 92, 93, 95, 97}
∴ n(S) = 20
Event B: the number is a multiple of 5
B = {25, 35, 75, 95}
∴ n(B) = 4
`therefore P (B) = (n(B))/(n(S))`
` = 4/20`
`=1/5`
Hence, the probability that the number is a multiple of 5 is `=1/5`.
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.
In a single throw of a dice, find the probability of getting a number not greater than 4.
In a single throw of a dice, find the probability of getting 5.
In a single throw of a dice, find the probability of getting a prime number.
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.
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 coin and one die are thrown simultaneously.
Condition for event A : To get head and an odd number.
Condition for event B : To get a head or tail and an even number.
Condition for event C : Number on the upper face is greater than 7 and tail on the 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 at least 10.
If two dice are rolled simultaneously, find the probability of the following event.
The digit on the first die is greater than the digit on second die.
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.
Do the following activity -
Activity I : Total number of students in your class, n(S) =
Number of students from your class, wearing spectacles, n(A) = 
Probability of a randomly selected student wearing spectacles, P(A) =
Probability of a randomly selected student not wearing spectacles, P(B) = 
Do the following activity -
Activity II : Decide the sample space yourself and fill in the following boxes.
A two digit number is to be formed from the digits 0,1,2,3,4,
without repetition of the digits. Find the probability that the number so
formed is a prime number
There are 35 students in a class of whom 20 are boys and 15 are girls. From these students one is chosen at random. What is the probability that the chosen student is a boy.
Two coins are tossed simultaneously. Write the sample space ‘S’.
When a dice is thrown, the number of sample points in the sample space are ______
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}`.
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}.
