मराठी
महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

A Card is Drawn at Random from a Well-shuffled Pack of 52 Playing Cards. Find the Probability of the Events that the Card Drawn is : (A) a King (B) a Face Card. - Algebra

Advertisements
Advertisements

प्रश्न

A card is drawn at random from a well-shuffled pack of 52 playing cards. Find the probability of the events that the card drawn is :

(a) a king (b) a face card.

बेरीज

उत्तर

A total number of all possible outcomes = 52.

i.e,. n(S) = 52 

a. Let A be the favourable outcomes of getting a king, Then 

i.e.,n(A) = 4

Therefore, 

⇒ p(A) = `(n(A))/(n(S)) =4/52 = 1/13`.

b. Let B be the favourable outcomes of getting a face card, then

i.e., n(B) = 12 

Therefore,

⇒ P(A) = `(n(B))/(n(s)) = 12/52 = 3/13`.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
2014-2015 (July)

APPEARS IN

संबंधित प्रश्‍न

Ramesh chooses a date at random in January for a party. 

 January 
Mon   6 13 20 27
Tue    7 14 21 28
Wed  1 8 15 22 29
Thurs  2 9 16 23 30
Fri  3 10 17 24 31
Sat  4 11 18 25  
Sun  5 12 19 26  

Find the probability that he chooses:  

  1. a Wednesday 
  2. a Friday 
  3. a Tuesday or a Saturday.

There are 25 discs numbered 1 to 25. They are put in a closed box anx shaken thoroughly. A disc is drawn at random from the box. 
Find the probability that the number on the disc is :
(i) an odd number
(ii) divisible by 2 and 3 both.
(iii) a number less than 16.


A coin is tossed. For this random experiment write the sample space and find n(S).


A student made a cube-shaped die from a card sheet. Instead of writing numbers 1,2,3,4,5,6 on its face, he wrote letters a,b,c,d,e,f one on each face randomly. If he rolls the die twice, find the probability that he gets a vowel on the upper face both times​.


1800 families with 2 children were selected randomly and the following data were recorded:

No. of girls in a family 2 1 0
No. of families 700 850 250

Computer the probability of a family chosen at random having: 2 girls


1800 families with 2 children were selected randomly and the following data were recorded:

No. of girls in a family 2 1 0
No. of families 700 850 250

Computer the probability of a family chosen at random having: No girls.


One card is randomly drawn from a pack of 52 cards. Find the probability that: the drawn card is red.


One card is randomly drawn from a pack of 52 cards. Find the probability that: the drawn card is an ace.


One card is randomly drawn from a pack of 52 cards. Find the probability that: the drawn card is red or king.


One card is drawn from a pack of 52 cards, each of the 52 cards being equally likely to be drawn. Find the probability that the card drawn is ‘2’ of spade


One card is drawn from a pack of 52 cards, each of the 52 cards being equally likely to be drawn. Find the probability that the card is drawn is ’10’ of a black suit.


Find the probability that leap year selected at random, will contain 53 Sundays.


In a set of 25 cards, each card bears only one number from 1 to 25. One card is drawn randomly. Write the sample space for this random experiment


A box contains tokens numbered 5 to 16. A token is drawn at random. Find the probability that the token drawn bears a number divisible by:

  1. 5
  2. Neither by 2 nor by 3

If a letter is choosen randomly from all the letters of the word 'MAINTAINANCE', what is the probability that the choosen letter is a vowel


If a letter is choosen randomly from all the letters of the word 'MAINTAINANCE', what is the probability that the choosen letter is a consonant


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×