मराठी

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 - Mathematics

Advertisements
Advertisements

प्रश्न

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  

बेरीज

उत्तर

In a pack of 52 playing cards, there are 2 black jacks, 2 black queens and 2 black kings. 
All the black face cards are removed from the pack. Then,
Number of remaining cards = 52 − 6 = 46
∴ Total number of outcomes = 46 

Number of black cards in the remaining pack of cards = 26 − 6 = 20
So, the favourable number of outcomes are 20.
∴ P(getting a black card) =\[\frac{\text{ Favourable number of outcomes }}{\text{ Total number of outcomes }} = \frac{20}{46} = \frac{10}{23}\]

 

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 16: Probability - Exercise 16.1 [पृष्ठ २६]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 10
पाठ 16 Probability
Exercise 16.1 | Q 65.3 | पृष्ठ २६

संबंधित प्रश्‍न

A die is thrown, then find the probability of the following events:
A is an Event: getting an odd number on the top upper surface of the die.
B is an Event: getting a perfect square on the upper surface of the die.


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


Two dice are thrown. Find the probability of getting :

1) The sum of the numbers on their upper faces is at least 9.

2) The sum of the numbers on their upper faces is 15.

3) The number on the upper face of the second die is greater than the number on the upper face of the first die.


The probability of getting an even number, when a die is thrown once, is :

(A) `1/2`

(B)`1/3`

(C)`1/6`

(D)`5/6`


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


All jacks, queens and kings are removed from a pack of 52 cards. The remaining cards are well-shuffled and then a card is randomly drawn from it. Find the probability that this card is  a red 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 number is selected at random from the numbers 3, 5, 5, 7, 7, 7, 9, 9, 9, 9 The probability that the selected number is their average is


Two different dice are tossed together. Find the probability that the sum of the numbers appearing on the two dice is 5. 


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 a prime number.


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 ₹1 coin?


A bag contains 18 balls out of which x balls are red. If the ball is drawn at random from the bag, what is the probability that it is not red?


All red face cards are removed from a pack of playing cards. The remaining cards are well shuffled and then a card is drawn at random from them. Find the probability that the drawn card is a card of clubs.


A game consists of tossing a one-rupee coin three times, and noting its outcome each time. Find the probability of getting at least two tails.


If A = {1, 2, 3, 4, 5} and B = {1, 3, 7}, then A ∩ B = ? 


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 coin is tossed twice. Find the probability of getting: exactly one tail


Ram put some buttons on the table. There were 4 blue, 7 red, 3 black and 6 white buttons in all. All of a sudden, a cat jumped on the table and knocked out one button on the floor. What is the probability that the button on the floor is blue?


At a Birthday Party, the children spin a wheel to get a gift. Find the probability of getting a ball


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×