Home
Class 11
MATHS
The numbers 1,2 ,3 and 4 are written sep...

The numbers 1,2 ,3 and 4 are written separately on four slips of paper. The slips are put in a box and mixed thoroughly. A person draws two slips from the box, one after the other, without replacement. Describe the sample space for the experiment.

Text Solution

Verified by Experts

The correct Answer is:
{(1,2), (1,3), (1,4), (2,1), (2,3), (2,4), (3, 1), (3, 2), (3,4), (4, 1), (4, 2), (4, 3)}
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    NCERT GUJARATI|Exercise EXERCISE 16.2|7 Videos

  • PROBABILITY

    NCERT GUJARATI|Exercise EXERCISE 16.3|21 Videos

  • PROBABILITY

    NCERT GUJARATI|Exercise MISCELLANEOUS EXERCISEON CHAPTER 25|1 Videos

  • PRINCIPLE OF MATHEMATICAL INDUCTION

    NCERT GUJARATI|Exercise EXERCISE - 4.1|24 Videos

  • RELATIONS AND FUNCTIONS

    NCERT GUJARATI|Exercise Miscellaneous Exercise on Chapter 2|12 Videos

Similar Questions

Explore conceptually related problems

A box contains 1 red and 3 identical white balls. Two balls are draw at random in succession without replacement. Write the sample space for this experiment.

A coin is tossed. If it shows a tail, we draw a balls from a box which contains 2 red and 3 black balls. If it shows head, we throw a die. Find the sample space for this experiment.

There are 40 students in Class X of a school of whom 25 are girls and 15 are boys. The class teacher has to select one student as a class representative. She writes the name of each student on separate cards, the cards being identical. Then she puts cards in a box and stirs them thoroughly. She then draws one card from the box. What is the probability that the name written on the card is the name of (i) a girl? (ii) a boy?

A box contains 3 green and 5 white balls. Three balls are drawn from it one after the other with replacement. Find probability distribution of the number of green balls.

6 balls marked as 1,2,3,4,5 and 6 are kept in a box. Two players A and B start to take out 1 ball at a time from the box one after another without replacing the ball till the game is over. The number marked on the ball is added each time to the previous sum to get the sum of numbers marked on the balls taken out. If this sum is even, then 1 point is given to the players. the first player to get 2 points is declared winner. at the start of the game, the sum is 0. if A starts to take out the ball, find the number of ways in which the game can be won.

A box contain 3 identical red balls, 3 identical white balls and 1 black ball. A ball is selected randomly from a bag and then put it in the bag. Aging a ball is drawn. Write the sample space for this experiment.

A bag contains a red ball, a black ball, a yellow ball and a white ball. One ball is selected randomly and note its colour and then put it into the bag. Again second ball is selected and note its colour. Write the sample space for this experiment. Hence, describe the following events : (1) A: Selected both the balls are of same colours. (2) B: Only one ball is white. (3) C: At least one ball is white. (4) D: Both the balls are of different colour. Hence, find AnnB,BuuC,AuuD,AnnD . What can we say about the events B and C ? What can we say about the events A and D?

Let n_1, and n_2 , be the number of red and black balls, respectively, in box I. Let n_3 and n_4 ,be the number one red and b of red and black balls, respectively, in box II. A ball is drawn at random from box 1 and transferred to box II. If the probability of drawing a red ball from box I, after this transfer, is 1/3 then the correct option(s) with the possible values of n_1 and n_2 , is(are)

One urn contains two black balls (labelled B_(1) and B_(2) ) and one white ball. A second urn contains one black ball and two white balls (labelled W_(1) , and W_(2) ). Suppose the following experiment is performed. One of the two urns is chosen at random. Next a ball is randomly chosen from the urn. Then a second ball is chosen at random from the same urn without replacing the first ball. (i) Write the sample space showing all possible outcomes (ii) What is the probability that two black balls are chosen ? (iii) What is the probability that two balls of opposite colour are chosen ?

Two natural numbers r, s are drawn one at a time, without replacement from the set S = {1, 2, 3, 4, ....., n}. Find P(r le p//s le p) , where p in S.