English

A Card is Drawn at Random from a Pack of 52 Playing Cards. Find the Probability of Drawing a Card that is Neither a Spade Nor a King. - Mathematics

Advertisements
Advertisements

Question

A card is drawn at random from a pack of 52 playing cards. Find the probability of drawing a card that is neither a spade nor a king.

Sum

Solution

We have a total number of cards 52
And in the deck of 52 cards number of spade are 13
And a number of king = 4
But, out of these 4 kings, 1 king is already included in 13 spades card.
So, we will remove all the spade and king that is `52 - (13 + 3) = 36`

Therefore, the probability of neither a spade nor a king is `36/52 = 9/13`

shaalaa.com
  Is there an error in this question or solution?
2018-2019 (March) Abroad Set(2)

RELATED QUESTIONS

There are three boys and two girls. A committee of two is to be formed. Find the probability of the following events:
Event A: The committee contains at least one girl
Event B: The committee contains one boy and one girl


Three different coins are tossed together. Find the probability of getting at least two heads.


In fig. 7 is shown a disc on which a player spins an arrow twice. The fraction `a/b` is formed, where 'a' is the number of sector on which arrow stops on the first spin and 'b' is the number of the sector in which the arrow stops on second spin. On each spin, each sector has equal chance of selection by the arrow. Find the probability that the fraction  `a/b>1.`


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?


Two coins are tossed simultaneously. Find the probability of getting exactly one head. 


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


The probability of an impossible event is


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?


The probability that a number selected at random from the numbers 1, 2, 3, ..., 15 is a multiple of 4, is


If two different dice are rolled together, the probability of getting an even number on both dice is 


If a number x is chosen from the numbers 1, 2, 3, and a number y is selected from the numbers 1, 4, 9. Then, P(xy < 9) 


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?


A bag contains 3 white, 5 black, and 2 red balls, all of the same shape and size. A ball is drawn from the bag without looking into it, find the probability that the ball drawn is not a black ball.


In a single throw of a die, find the probability that the number:
(i) will be an even number.
(ii) will be an odd number.
(iii) will not be an even number.


In a single throw of a die, find the probability of getting :
(i) 8
(ii) a number greater than 8
(iii) a number less than 8


Two dice are rolled, find the probability that the sum is equal to 1


The probability that a non leap year selected at random will contain 53 sundays is ______.


A letter of English alphabets is chosen at random. Determine the probability that the letter is a consonant.


In a throw of a dice, the probability of getting the number 7 is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×