English

If a Coin is Tossed Two Times, Describe the Sample Space Associated to this Experiment. - Mathematics

Advertisements
Advertisements

Question

If a coin is tossed two times, describe the sample space associated to this experiment.

 

Solution

If a coin is tossed twice, the possible outcomes are HH, HT, TH, TT.
Therefore, the sample space of this experiment is S = {HH, HT, TH, TT}.

shaalaa.com
  Is there an error in this question or solution?
Chapter 33: Probability - Exercise 33.1 [Page 6]

APPEARS IN

RD Sharma Mathematics [English] Class 11
Chapter 33 Probability
Exercise 33.1 | Q 2 | Page 6

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

Describe the sample space for the indicated experiment: A die is thrown two times.


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.


A coin is tossed once. Write its sample space

 

If a coin is tossed three times (or three coins are tossed together), then describe the sample space for this experiment.


A coin is tossed and then a die is thrown. Describe the sample space for this experiment.


In a random sampling three items are selected from a lot. Each item is tested and classified as defective (D) or non-defective (N). Write the sample space of this experiment.


2 boys and 2 girls are in room P and 1 boy 3 girls are in room Q. Write the sample space for the experiment in which a room is selected and then a person.

 

Three coins are tossed once. Describe the events associated with this random experiment: 

A = Getting three heads
B = Getting two heads and one tail
C = Getting three tails
D = Getting a head on the first coin.
(i) Which pairs of events are mutually exclusive?

 


Three coins are tossed once. Describe the events associated with this random experiment: 

A = Getting three heads
B = Getting two heads and one tail
C = Getting three tails
D = Getting a head on the first coin.

(ii) Which events are elementary events?


A card is picked up from a deck of 52 playing cards.

What is the sample space of the experiment?


A card is drawn at random from a pack of 52 cards. Find the probability that the card drawn is a jack, queen or a king


A card is drawn at random from a pack of 52 cards. Find the probability that the card drawn is neither a heart nor a king


A card is drawn at random from a pack of 52 cards. Find the probability that the card drawn is  neither an ace nor a king


A card is drawn at random from a pack of 52 cards. Find the probability that the card drawn is a diamond card


A card is drawn at random from a pack of 52 cards. Find the probability that the card drawn is not a black card.

 

A bag contains 7 white, 5 black and 4 red balls. If two balls are drawn at random, find the probability that one ball is black and the other red


A bag contains 6 red, 4 white and 8 blue balls. If three balls are drawn at random, find the probability that one is red

 

There are four men and six women on the city councils. If one council member is selected for a committee at random, how likely is that it is a women?

 

Find the probability that in a random arrangement of the letters of the word 'SOCIAL' vowels come together.


Find the probability that in a random arrangement of the letters of the word 'UNIVERSITY', the two I's do not come together.

 

A committee of two persons is selected from two men and two women. What is the probability that the committee will have  no man? 


A committee of two persons is selected from two men and two women. What is the probability that the committee will have one man?


Two balls are drawn at random from a bag containing 2 white, 3 red, 5 green and 4 black balls, one by one without, replacement. Find the probability that both the balls are of different colours.


20 cards are numbered from 1 to 20. One card is drawn at random. What is the probability that the number on the cards is odd?


20 cards are numbered from 1 to 20. One card is drawn at random. What is the probability that the number on the cards is greater than 12?


A class consists of 10 boys and 8 girls. Three students are selected at random. What is the probability that the selected group has  all boys?


A class consists of 10 boys and 8 girls. Three students are selected at random. What is the probability that the selected group has  all girls?


A bag contains tickets numbered from 1 to 20. Two tickets are drawn. Find the probability that  on one there is a prime number and on the other there is a multiple of 4.as


An integer is chosen at random from first 200 positive integers. Find the probability that the integer is divisible by 6 or 8.


A sample space consists of 9 elementary events E1E2E3, ..., E9 whose probabilities are
P(E1) = P(E2) = 0.08, P(E3) = P(E4) = P(E5) = 0.1, P(E6) = P(E7) = 0.2, P(E8) = P(E9) = 0.07
Suppose A = {E1E5E8}, B = {E2E5E8, E9}   

 List the composition of the event A ∪ B, and calculate P(A ∪ B) by addting the probabilities of elementary events.


If A and B are two independent events such that \[P (A \cap B) = \frac{1}{6}\text{ and }  P (A \cap B) = \frac{1}{3},\]  then write the values of P (A) and P (B).

 
 

Four persons are selected at random out of 3 men, 2 women and 4 children. The probability that there are exactly 2 children in the selection is


A die is rolled, then the probability that a number 1 or 6 may appear is


Six boys and six girls sit in a row randomly. The probability that all girls sit together is


6 boys and 6 girls sit in a row at random. The probability that all the girls sit together is


If the probability for A to fail in an examination is 0.2 and that for B is 0.3, then the probability that either A or B fails is


An urn contains nine balls of which three are red, four are blue and two are green. Three balls are drawn at random without replacement from the urn. The probability that the three balls have different colours is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×