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प्रश्न
Two coins are tossed simultaneously. Write the sample space ‘S’.
उत्तर
Since two coins are tossed,
Sample space = S = {HH, HT, TH, TT}
∴ n(s) = 4
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.
A bag contains 3 white, 5 black and 2 red balls, all of the same shape and size. A ball is drawn from the bag without looking into it, find the probability that the ball drawn
not a black ball.
In a single throw of a dice, find the probability of getting a number greater than 4.
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 a number less than 8.
In a single throw of a dice, find the probability of getting a prime number.
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).
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 dice are rolled simultaneously, find the probability of the following event. The sum of the digits on the upper faces is 33.
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 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 ?
Two coins are tossed simultaneously. Complete the following activity of writing of the sample space (S) and expected outcomes of the events :
1) Event A : to get at least one head.
2) Event B : to get no head.
Activity : If two coins are tossed simultaneously
∴ s = {`square , "HT","TH", square`}
1) Event A : at least getting one head.
∴ A = {`"HH" , square , "TH"`}
2) Event B : to get no head.
∴ B = {`square`}
There are 9 tickets in a box, each bearing one of the numbers from 1 to 9.
One ticket is drawn at random from the box.
Event A: Ticket shows an even number.
Complete the following activity from the given information:
Activity:
S = {__________}
n(S) = ____________
A = {________}
n(A) = ___________
Write a sample space if two coins are tossed simultaneously
Write a sample space when a die is thrown
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)}`
