हिंदी

Three coins are tossed simultaneously. What is the probability of getting at least one head? - Mathematics

Advertisements
Advertisements

प्रश्न

Three coins are tossed simultaneously. What is the probability of getting at least one head?

योग

उत्तर

The possible outcomes when three coins are tossed together are

{HHH,TTT,THT,TTH,HHT,HTH,THH,HTT}. Therefore, the number of possible outcomes when two coins are tossed is 8.
Now, the possible outcomes of getting at least one head are {HHH, THT, TTH, HHT, HTH, THH, HTT}, which means the number of favourable outcomes is 7.
Therefore, the probability P of getting at least one head is:
P = `7/8`
Hence, the probability of getting at least one head is `7/8`
shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
2023-2024 (February) Standard Official

संबंधित प्रश्न

In a school, students decided to plant trees in and around the school to reduce air pollution. It was decided that the number of trees, that each section of each class will plant, will be double of the class in which they are studying. If there are 1to 12 classes in the school and each class has two sections, find how many trees were
planted by the students. Which value is shown in this question?


A number is selected at random from the numbers 1 to 30. The probability that it is a prime number is:

(A) 2/3

(B) 1/6

(C) 1/3

(D) 11/30


All the red face cards are removed from a pack of 52 playing cards. A card is drawn at random from the remaining cards, after reshuffling them. Find the probability that the drawn card is  an ace.



Choose the correct alternative answer for the following question.

If n(A) = 2, P(A) = `1/5`, then n(S) = ?


In a class of 42 students in Model High School, 3 students use spectacles.
Fill in the following boxes to find the probability of a students selected
at random is wearing sepctacles.
The total number of students in the class is 42.
∴n(S) =   ...... ,
Let the event, a student uses spectacles, be A.
∴ n(A) = ...........
∴ P(A) =   ............ ∴ P(A) = ............ 


A box contains 5 red marbles, 8 white marbles, and 4 green marbles, One marble is taken out of the box at random. What is the probability that the marble taken out will be red?


A black die and a white die are thrown at the same time. Write all the possible outcomes. What is the probability?  that the product of numbers appearing on the top of the dice is less than 9.  


The king, queen and jack of clubs are removed form a deck of 52 playing cards and the remaining cards are shuffled. A card is drawn from the remaining cards. Find the probability of getting a card of  a queen of diamond.

 


In the probability that the digit is a multiple of 3 is


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


If a number x is chosen from the numbers 1, 2, 3, and a number y is selected from the numbers 1, 4, 9. Then, P(xy < 9) 


A game of chance consists of spinning an arrow which is equally likely to come to rest pointing to one of the numbers 1, 2, 3,..., 12 as shown in the figure. What is the probability that it will point to an even number ?


The probability of selecting a red ball at random from the jar that contains only red, blue and orange balls is `1/4`. The probability of selecting a blue ball at random from the same jar is `1/3`. If the jar contains 10 orange balls, find the total number of balls in the jar.


Five cards − the ten, jack, queen, king and ace of diamonds are well shuffled with their faces downwards. One card is then picked up at random. If the queen is drawn and put aside and a second card is drawn, find the probability that the second card is

  1. an ace,
  2.  a queen.

A die is thrown, then find the probability of the following events:

A is an event: getting a perfect square.

B is an event: getting a prime number.


A bag contains six identical black balls. A child withdraws one ball from the bag without looking into it. What is the probability that he takes out:

  1. a white ball?
  2. a black ball?

A coin is tossed once. Find the probability of getting a head


What is the probability of drawing a King or a Queen or a Jack from a deck of cards?


There are 24 balls in a pot. If 3 of them are Red, 5 of them are Blue and the remaining are Green then, what is the probability of picking out a Red ball?


When a dice is rolled, the six possible outcomes are ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×