English

A Card is Drawn from a Well-shuffled Deck of 52 Playing Cards. the Probability that the Card Will Not Be an Ace is - Mathematics

Advertisements
Advertisements

Question

A card is drawn from a well-shuffled deck of 52 playing cards. The probability that the card will not be an ace is 

Options

  • A. `1/13`

  • B. `1/4`

  • C. `12/13`

  • D.`3/4`

MCQ

Solution

There are 4 ace cards in a deck of 52 playing cards. 

∴ Number of non-ace cards = 52 − 4 = 48 

Let E be the event of drawing a non-ace card. 

Total number of outcomes = 52 

Number of favourable outcomes = 48 

`P(E)=text{Number of favourable outcomes}/text{ Total Number of outcomes}=48/52=12/13`

The correct answer is C.

shaalaa.com
  Is there an error in this question or solution?
2010-2011 (March) All india set 1

RELATED QUESTIONS

Two different dice are tossed together. Find the probability :

1) of getting a doublet

2) of getting a sum 10, of the numbers on the two dice.


Two different dice are rolled simultaneously. Find the probability that the sum of numbers appearing on the two dice is 10 ?


All kings, queens and aces are removed from a pack of 52 cards. The remaining cards are well shuffled and then a card is drawn from it. Find the probability that the drawn card is (i) a black face card. (ii) a red card.


Five cards − the ten, jack, queen, king and ace of diamonds, are well-shuffled with their face downwards. One card is then picked up at random.

If the queen is drawn and put a side, what is the probability that the second card picked up is (a) an ace? (b) a queen?


A black die and a white die are thrown at the same time. Write all the possible outcomes. What is the probability? 

that the numbers obtained have a product less then 16.


Red queens and black jacks 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 card drawn is a face 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 


A die is thrown once. What is the probability of getting a prime number? 


A number is chosen at random from the number –3, –2, –1, 0, 1, 2, 3. What will be the probability that square of this number is less then or equal to 1?


Which of the following cannot be the probability of an event? 


Two dice are rolled simultaneously. The probability that they show different faces is  


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


Two different dice are rolled simultaneously. Find the probability that the sum of the numbers on the two dice is 10.


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 be a 50 p or a ₹2 coin?


A jar contains 54 marbles, each of which some are blue, some are green and some are white. The probability of selecting a blue marble at random is `1/3` and the probability of selecting a green marble at random is `4/9`. How many white marbles does the jar contain?


One card is drawn at random from a well-shuffled deck of 52 cards. What is the probability of getting a 6?


A coin is tossed once. Find the probability of not getting a head


A coin is tossed 12 times and the outcomes are observed as shown below:

The chance of occurrence of Head is


On throwing a dice once, the probability of occurence of a composite number is `1/2`.


Sonia picks up a card from the given cards.


Calculate the probability of getting an odd number


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×