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प्रश्न
Write the sample space for selecting a day randomly of the week.
उत्तर
The sample space ‘S’ for selecting a day randomly of the week is given by
S = {Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, Saturday}
n(S) = 7
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 coin is tossed’. Write the sample space ‘S’.
In a single throw of a dice, find the probability of getting 8.
A dice is thrown once. Find the probability of getting an even number.
A dice is thrown once. Find the probability of getting a number between 3 and 8.
In the month of March 2019, Find the days on which the date is a multiple of 5. (see the given page of the calender)
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 ?
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?
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) =
250 lottery tickets were sold and there are 5 prizes on these tickets. If Kunal has purchased one lottery ticket, what is the probability that he wins a prize?
Two coins are tossed simultaneously. Write the sample space ‘S’.
In the following experiment write the sample space S, Number of sample points n(S), write the event P in set form and find n(P):
Form two-digit numbers using the digit 0, 1, 2, 3, 4, without repeating the digits, P is the event, that the number so formed is even.
A two-digit number is formed with digits 2, 3, 5 without repetition. Write the sample space
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}`.
Form a ‘Road Safety Committee’ of two, from 2 boys (B1, B2) and 2 girls (G1, G2).
Complete the following activity to write the sample space :
- Committee of 2 boys = `{square}`
- Committee of 2 girls = `{square}`
- Committee of one boy and one girl = `{B_1G_1, B_1G_2, square, square}`
- ∴ Sample space (S) = `{(B_1 B_2),(B_1 G_1), square, square, (B_2 G_2),(G_1 G_2)}`
Two coins are tossed simultaneously. Complete the following activity to write the sample space and the given events A and B in the set form:
Event A: To get at least one head.
Event B: To get no head.
Activity:
Two coins are tossed simultaneously.
∴ Sample space is
S = `{square, HT, TH, square}`
Event A: To get at least one head.
∴ A = `{square, HT, TH}`
Event B: To get no head.
∴ B = `{square}`