English

Describe the Sample Space for the Indicated Experiment: a Coin is Tossed and a Die is Thrown. - Mathematics

Advertisements
Advertisements

Question

Describe the sample space for the indicated experiment: A coin is tossed and a die is thrown.

Solution

A coin has two faces: head (H) and tail (T).

A die has six faces that are numbered from 1 to 6, with one number on each face.

Thus, when a coin is tossed and a die is thrown, the sample space is given by:

S = {H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6}

shaalaa.com
  Is there an error in this question or solution?
Chapter 16: Probability - Exercise 16.1 [Page 386]

APPEARS IN

NCERT Mathematics [English] Class 11
Chapter 16 Probability
Exercise 16.1 | Q 4 | Page 386

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

2 boys and 2 girls are in Room X, and 1 boy and 3 girls in Room Y. Specify the sample space for the experiment in which a room is selected and then a person.


One die of red colour, one of white colour and one of blue colour are placed in a bag. One die is selected at random and rolled, its colour and the number on its uppermost face is noted. Describe the sample space.


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 die is thrown repeatedly until a six comes up. What is the sample space for this experiment?


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

 

A coin is tossed twice. If the second throw results in a tail, a die is thrown. Describe the sample space for this experiment.


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


A pair of dice is rolled. If the outcome is a doublet, a coin is tossed. Determine the total number of elementary events associated to this experiment.


A bag contains 4 identical red balls and 3 identical black balls. The experiment consists of drawing one ball, then putting it into the bag and again drawing a ball. What are the possible outcomes of the experiment?

 

An experiment consists of boy-girl composition of families with 2 children. 

What is the sample space if we are interested in knowing whether it is a boy or girl in the order of their births?

 


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

 

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.

(iii) Which events are compound events?

 

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

 What is the event that the chosen card is a black faced card?

 

 


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


A card is drawn at random from a pack of 52 cards. Find the probability that the card drawn is spade or an ace


From a deck of 52 cards, four cards are drawn simultaneously, find the chance that they will be the four honours of the same suit.


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


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 and two are white


Five cards are drawn from a pack of 52 cards. What is the chance that these 5 will contain at least one ace?

 

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?

 

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 a multiple of 4?


A class consists of 10 boys and 8 girls. Three students are selected at random. What is the probability that the selected group has 1 boys and 2 girls?


Five cards are drawn from a well-shuffled pack of 52 cards. Find the probability that all the five cards are hearts.


An urn contains 7 white, 5 black and 3 red balls. Two balls are drawn at random. Find the probability that  both the balls are red .


An urn contains 7 white, 5 black and 3 red balls. Two balls are drawn at random. Find the probability that  one ball is white. 


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}   

 Compute P(A)P(B) and P(A ∩ B).


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.


n (≥ 3) persons are sitting in a row. Two of them are selected. Write the probability that they are together.

 

Three dice are thrown simultaneously. What is the probability of getting 15 as the sum?

 

If the letters of the word 'MISSISSIPPI' are written down at random in a row, what is the probability that four S's come together.

 

If E and E2 are independent evens, write the value of P \[\left( ( E_1 \cup E_2 ) \cap (E \cap E_2 ) \right)\]

 

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).

 
 

A card is drawn at random from a pack of 100 cards numbered 1 to 100. The probability of drawing a number which is a square is


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


How many two-digit positive integers are multiples of 3?


The probability that a randomly chosen 2 × 2 matrix with all the entries from the set of first 10 primes, is singular, is equal to ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×