Question

SHORT ANSWER TYPE QUESTIONS-
15. A card is drawn at random from a well shuffled pack of 52 playing cards, Find
probability of getting neither a red card nor a queen
ICBSE 2016]मेरा नाम मोहित है ​

Answer 1

Explanation:

There are 26 red cards in a deck of 52 cards.

Number of queens in a deck =4 cards.

In which, 2 queens are black and 2 are red.

Now, number of card which are neither red nor queen =52–(26+2)=24.

Therefore, probability of getting a red card nor a queen =

24/54=6/13.

hope it helps you

Answer 2

To find :

• The probability of getting neither a red card nor a queen.

.

Formula to be used :

.

P (E) = ${\dfrac{No.of\ favourable\ outcomes}{Total\ no.of\ outcomes}}$

.

Solution :

Total no.of outcomes = 52 ( we've 52 cards )

_________

No.of favourable out comes = Total no.of out comes - [No.of red cards + No.of queens]

( since it is mentioned in the question neither a red card nor a queen )

So,

No.of red cards = 26

No.of queens = 2 ( 2 are red and 2 are black and red queens are already counted in red cards )

Totally 28

No.of favourable outcomes = 52 - 28 = 24

_________

Applying the values to the formula ...

P (E) = ${\dfrac{No.of\ favourable\ outcomes}{Total\ no.of\ outcomes}}$

P (E) = ${\dfrac{24}{52}}$

P (E) = ${\dfrac{6}{13}}$

.

.

_________________________

A deck of cards has ...

• A deck of playing cards has 52 cards which are divided into 4 suits 13 cards each.

• The four suits are :

1. Spades ♤
2. Hearts ♡
3. Diamonds ♢
4. Clubs ♧

• The 13 cards of each suit are : An Ace, A King, A Queen, A Jack, 10, 9, 8, 7, 6, 5, 4, 3 & 2.

• Kings, queens and jacks are called face cards. A deck of 52 cards contains 4-kings 4-queens and 4-jacks. Total no.of face cards in a deck of 52 cards is 12.

• Clubs and spades are of black colour whereas hearts and diamonds are of red colour.