मराठी

A Card is Drawn at Random from a Well-shuffled Deck of Playing Cards. Find The Probability that the Card Drawn Is Neither a Jack Nor a King. - Mathematics

Advertisements
Advertisements

प्रश्न

A card is drawn at random from a well-shuffled deck of playing cards. Find the probability that the card drawn is neither a jack nor a king.

उत्तर

Let S be the sample space of drawing a card from a well-shuffled deck.

`n(S)=""^52C_1=52`

There are 4 jack and 4 king cards in a deck.

So there are 52 -8 = 44 cards which are neither jacks nor kings.

A card which is neither a jack nor a king can be drawn in `""^44C_1=44`

Probability of drawing a card which is neither a jack nor a king=44/52=11/13

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
2014-2015 (March) All India Set 3

संबंधित प्रश्‍न

Two different dice are rolled together. Find the probability of getting the sum of numbers on two dice to be 5.

 


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 a queen.


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 a face card.


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 group consists of 12 persons, of which 3 are extremely patient, other 6 are extremely honest and rest are extremely kind. A person form the group is selected at random. Assuming that each person is equally likely to be selected, find the probability of selecting a person who is extremely patient


A piggy bank contains hundred 50 paise coins, fifity ₹1 coins, twenty ₹2 coins and ten ₹5 coins. If it is equally likely that one of the coins will fall out when the bank is turned upside down, find the probability that the coin which fell  will be a ₹1 or ₹2 coin    


Cards numbered from 11 to 60 are kept in a box. If a card is drawn at random from the box, find the probability that the number on the drawn card is  an odd number 


Suppose you drop a tie at random on the rectangular region shown in the given figure. What is the probability that it will land inside the circle with diameter 1 m? 

 


Aarushi sold 100 lottery tickets in which 5 tickets carry prizes. If Priya purchased a ticket, what is the probability of Priya winning a prize?


A two digit number is to be formed using the digits 0, 1, 2, 3. Repetition of the digits is allowed. Find the probability that a number so formed is a prime number.


A box contains 25 cards numbered from 1 to 25. A card is drawn at random from the bag. Find the probability that the number on the drawn card is divisible by 2 or 3.


A piggy bank contains hundred 50 p coins, seventy ₹1 coin, fifty ₹2 coins and thirty ₹5 coins. If it is equally likely that one of the coins will fall out when the bank is turned upside down, what is the probability that the coin will not be a ₹5 coin?


A carton consists of 100 shirts of which 88 are good and 8 have minor defects. Rohit, a trader, will only accept the shirts which are good. But Kamal, an another trader, will only reject the shirts which have major defects. One shirt is drawn at random from the carton. What is the probability that it is acceptable to Rohit.


Two dice are thrown. Find the probability of the following events:

Event A : The product of the numbers on their upper faces is 10.

Event B : The sum of the numbers on their upper faces is 10 


In a certain race there are three boys A, B, C. The winning probability of A is twice than B and the winning probability of B is twice than C. If P(A) + P(B) + P(C) = 1, then find the probabilities of their winning.


A die is thrown, find the probability of getting:

a number not greater than 4.


A bag contains a black ball, a red ball and a green ball, all the balls are identical in shape and size. A ball is drawn from the bag without looking into it. What is the probability that the ball drawn is:
(i) a red ball
(ii) not a red ball
(iii) a white ball.


The total number of events of throwing 10 coins simultaneously is ____________.


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


The probability of getting a prime number is the same as that of a composite number in a throw of a dice.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×