Question

A card is drawn from a well shuffled deck of playing 52 card . find the probability of getting A queen card , a red colour and king of black colour​

Answer 1

In a deck of 52 cards, We have 26 cards of two different colours namely Red and Black.

Also,

• Probability of an Event

⇒ P(E) = Favourable Outcomes / Total outcomes

(I) A queen card.

Since, There are four different type of cards as Spade, Club, Diamond, Heart.

And, Each card has a queen card.

So, There are total 4 queen cards in 52 cards.

∴ P(E) = 4/52 = 1/13

(II) A red colour card.

Here, There are total 26 cards of red colour namely Heart & Diamond.

And, Total number of cards is 52.

∴ P(E) = 26/52 = 1/2

(III) A King of black colour.

Each type of cards has only 1 king. As we know, There are two different kind of cards,(total 26 cards) of black colour. So, We have only 2 card of king of black colour.

And, Total cards = 52.

∴ P(E) = 2/52 = 1/26

Answer 2

Answer:

One card is drawn from a well-shuffled deck of 52 cards.Find the probability of getting (1)a king of red colour(2)a face card(3)a red face card(4)the jack of hearts(5)a spade(6)the queen of diamonds

Explain

Total Cards 52

Cards 1-10 , Jack Queen & King   ( of 4 types)

Jack Queen & King - Face Cards

4 types

HEART   - RED

DIAMOND - RED

SPADE - BLACK

CLUB   - BLACK

1) king of Red colur   -  2 King  - (HEART & DIAMOND)

Probability of king of Red colur = 2/52 = 1/26

2) Face card =  4 * 3 = 12

Probability of Face Card = 12/52  = 3/13

3) Red face Card = 2 * 3 = 6

Probability of Red Face Card = 6/52  = 3/26

4) the jack of hearts = 1

  Probability of the jack of hearts = 1/52

5) a spade = 13

Probability of a spade = 13/52 = 1/4

6) the queen of diamonds = 1

Probability of the queen of diamonds = 1/52