A card is drawn at random from a pack of 52 cards. Find the probability that the card drawn is: (a) a black king (b) neither a red card or a queen (c) neither a king or a queen (d) either a black or a king Please answer immediately?

Question

Answer

Probability of Drawing Cards

(a) A Black King

There are two black kings in a standard deck of 52 cards. Therefore, the probability of drawing a black king is:

Probability = (number of black kings) / (total number of cards) = 2/52 = 1/26

(b) Neither a Red Card nor a Queen

There are 26 red cards and 4 queens in a standard deck of 52 cards. Therefore, the number of cards that are either a red card or a queen is:

Number of red cards or queens = (number of red cards) + (number of queens) - (number of red queens)

where the number of red queens is 2 (the queen of diamonds and the queen of hearts).

Number of red cards or queens = 26 + 4 - 2 = 28

Therefore, the number of cards that are neither a red card nor a queen is:

Number of cards that are neither a red card nor a queen = (total number of cards) - (number of red cards or queens) = 52 - 28 = 24

Therefore, the probability of drawing a card that is neither a red card nor a queen is:

Probability = (number of cards that are neither a red card nor a queen) / (total number of cards) = 24/52 = 6/13

(c) Neither a King nor a Queen

There are four kings and four queens in a standard deck of 52 cards. Therefore, the number of cards that are either a king or a queen is:

Number of kings or queens = (number of kings) + (number of queens) - (number of king queens)

where the number of king queens is 2 (the queen of spades and the king of hearts).

Number of kings or queens = 4 + 4 - 2 = 6

Therefore, the number of cards that are neither a king nor a queen is:

Number of cards that are neither a king nor a queen = (total number of cards) - (number of kings or queens) = 52 - 6 = 46

Therefore, the probability of drawing a card that is neither a king nor a queen is:

Probability = (number of cards that are neither a king nor a queen) / (total number of cards) = 46/52 = 23/26

(d) Either a Black or a King

There are two black kings and 26 black cards (including the two black kings) in a standard deck of 52 cards. Therefore, the number of cards that are either black or a king is:

Number of black cards or kings = (number of black cards) + (number of kings) - (number of black kings)

Number of black cards or kings = 26 + 4 - 2 = 28

Therefore

Answer

Answer

I think
1 .. 2/52 ,2.. 35/52, 3.. 44/52 , 4..27/52

Similar Class 10 Doubts

One card is drawn at from a pack of 52 cards find the probability that the card drawn is: * Red and a queen * Either red or a queen?

A card is drawn at random from a well shuffled pack of 52 playing cards. Find the probability of getting neither a red card nor a queen.

Two cards are drawn at random from a pack of 52 cards.what is the probability that either both are black or both are queen?

AA card is drawn from a pack of 52 cards find the probability of getting neither a red card nor a queen ?

a card is drawn from a well shuffled pack of 52 cards. find probability that the card drawn is neither a hearts nor a queen

Top Courses for Class 10View all

Science Class 10

Social Studies (SST) Class 10

Mathematics (Maths) Class 10

English Grammar Advanced

English Grammar Basic

Top Courses for Class 10

Top Courses for Class 10

Suggested Free Tests

Related Content

About Class 10

Class 10 Study Material

Class 10 All Subjects

NCERT Textbook Solutions

Other Classes

Important Links

Company