Advertisements
Advertisements
Question
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)}`
Solution
- Committee of 2 boys = {B1 B2}
- Committee of 2 girls = {G1 G2}
- Committee of one boy and one girl = B1G1, B1G2, B2 G1, B2 G2}
- ∴ Sample space (S) = {(B1 B2), (B1 G1), (B1 G2), (B2 G1), (B2 G2),(G1 G2)}
APPEARS IN
RELATED QUESTIONS
Write the sample space for selecting a day randomly of the week.
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. Write the sample space (S) and number of sample points n(S) and also write event A of getting even number on the upper surface and write n(A).
There are 15 tickets bearing the numbers from 1 to 15 in a bag and one ticket is drawn from this bag at random. Write the sample space (S) and n(S).
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 White ball.
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 less than 8.
For the following experiment write sample space ‘S’ and number of sample points n(S).
One coin and one die are thrown simultaneously.
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).
Two dice are rolled simultaneously,
Event A : The sum of the digits on upper faces is a multiple of 6.
Event B : The sum of the digits on the upper faces is minimum 10.
Event C : The same digit on both the upper faces.
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 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 an even number.
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?
Write a sample space if two coins are tossed simultaneously
Write a sample space when a die is thrown
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}`
