English

Two Different Coins Are Tossed Simultaneously. the Probability of Getting at Least One Head is (A) 1 2 (B) 1 8 (C) 3 4 (D) 7 8 - Mathematics

Advertisements
Advertisements

Question

Two different coins are tossed simultaneously. The probability of getting at least one head is

(A)`1/2`

(B)`1/8`

(C)`3/4`

(D)`7/8`

 

Solution

When two coins are tossed simultaneously, the possible outcomes are {(H, H), (H, T), (T, H), (T, T)}.
∴ Total number of outcomes = 4

Let E be the event of getting at least one head.
Then, the outcomes favourable to E are {(H, H), (H, T), (T, H)}.
∴ Number of favourable outcomes = 3

P(E) =\[\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}} = \frac{3}{4}\]

Hence, the correct option is C.
shaalaa.com
  Is there an error in this question or solution?
2013-2014 (March) Foreign Set 3

RELATED QUESTIONS

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 of red colour.


Rahim tosses two different coins simultaneously. Find the probability of getting at least one tail.


Find the class mark of the class 35 - 39.


Two coins are tossed simultaneously. Write the sample space (S), n(S), the following event A
using set notation and n(A), where ‘A is the event of getting at least one head.’


Two different dice are thrown together. Find the probability that the numbers obtained have

1) even sum, and

2) even product.


A box contains 5 red, 8 blue and 3 green pens. Rutuja wants to pick a pen at random. What is the probability that the pen is blue?


All the black face cards are removed from a pack of 52 cards. The remaining cards are well shuffled and then a card is drawn at random. Find the probability of getting red card


All the black face cards are removed from a pack of 52 cards. The remaining cards are well shuffled and then a card is drawn at random. Find the probability of getting black card  


In a bag there are 44 identical cards with figure of circle or square on them. There are 24 circles, of which 9 are blue and rest are green and 20 squares of which 11 are blue and rest are green.  One card is drawn from the bag at random. Find the probability that it has the figure of square  


In a bag there are 44 identical cards with figure of circle or square on them. There are 24 circles, of which 9 are blue and rest are green and 20 squares of which 11 are blue and rest are green.  One card is drawn from the bag at random. Find the probability that it has the figure of  green colour 


What is the probability that a number selected at random from the numbers 3, 4, 5, ....9 is a multiple of 4? 


In a family of 3 children, the probability of having at least one boy is


A father's age is three times the sum of the ages of his two children. After 5 years his age will be two times the sum of their ages. Find the present age of the father.


From the same place at 7 a.m. A started walking in the north at a speed of 4 km/hr. after 1 hour, B started cycling in the east at a speed of 8 km/hr. at what time will they be at a distance of 20 km apart from each other?


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 Blue ball?


If the probability of an event is p, the probability of its complementary event will be ______.


Which of the following is not a random experiment?


A diece is tossed two times. The number of possible outcomes is ______.


A dice is rolled once. What is the probability that the number on top will be a multiple of 3


Playing cards from a pack of cards the following cards are kept face down:

Suhail wins if he picks up a face card. Find the probability of Suhail winning?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×