Advertisements
Advertisements
Question
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.
Solution
S = {H1, H2, H3, H4, H5, H6 T1, T2, T3, T4, T5, T6}
∴ n(S) = 12
A = {H1, H3, H5}
∴ n(A) = 3
B = {H2, H4, H6, T2, T4, T6}
∴ n(B) = 6
C = {}
∴ n(C) = 0
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 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.
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.
A dice is thrown once. Find the probability of getting a number between 3 and 8.
For the following experiment write sample space ‘S’ and number of sample points n(S).
One coin and one die are thrown simultaneously.
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.
The arrow is rotated and it stops randomly on the disc. Find out on which colour it may stop.
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.
Do the following activity -
Activity II : Decide the sample space yourself and fill in the following boxes.
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.
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.
When two dice are thrown, the number of sample points in the sample space are ______
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)}`
