English

A coin is tossed 3 times. List the possible outcomes. Find the probability of getting all heads - Mathematics

Advertisements
Advertisements

Question

A coin is tossed 3 times. List the possible outcomes. Find the probability of getting all heads

Sum

Solution

The possible outcomes if a coin is tossed 3 times is

S = {(HHH), (TTT), (HTT), (THT), (TEH), (THH), (HTH), (HHT)}

Let E1 = Event of getting all heads = {(HHH)}

∴ n(E1) = 1

∴ `P(E_1) = (n(E_1))/(n(S)) = 1/8`

shaalaa.com
  Is there an error in this question or solution?
Chapter 13: Statistics and Probability - Exercise 13.3 [Page 172]

APPEARS IN

NCERT Exemplar Mathematics [English] Class 10
Chapter 13 Statistics and Probability
Exercise 13.3 | Q 25.(i) | Page 172

RELATED QUESTIONS

The probability of an event that is certain to happen is ______. Such as event is called ______.


A lot consists of 144 ball pens of which 20 are defective and the others are good. Nuri will buy a pen if it is good, but will not buy if it is defective. The shopkeeper draws one pen at random and gives it to her. What is the probability that she will buy it?


A game consists of tossing a one rupee coin 3 times and noting its outcome each time. Hanif wins if all the tosses give the same result, i.e., three heads or three tails, and loses otherwise. Calculate the probability that Hanif will lose the game.


If P(E) denotes the probability of an event E then


Fill in the blank:

The probability of a possible but not a sure event lies between ......... and ........ . 


One ticket is drawn at random from a bag containing tickets numbered 1 to 40. The probability that the selected ticket has a number which is a multiple of 5 is ______.


An integer is chosen between 0 and 100. What is the probability that it is not divisible by 7?


Cards with numbers 2 to 101 are placed in a box. A card is selected at random. Find the probability that the card has an even number


In a game, the entry fee is Rs 5. The game consists of a tossing a coin 3 times. If one or two heads show, Sweta gets her entry fee back. If she throws 3 heads, she receives double the entry fees. Otherwise she will lose. For tossing a coin three times, find the probability that she gets double entry fee.


A card is drawn at random from a well-shuffled pack of 52 cards. The probability that the card drawn is not an ace is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×