Exercise 14.1, 14

Rahul (2025-06-30 10:24:41)

Answer:

(i) Probability of getting a king of red colour:

There are 2 red kings in the deck: the King of Hearts and the King of Diamonds.

• Favorable outcomes = 2 (King of Hearts, King of Diamonds)
• Total outcomes = 52

P(king of red colour) = 2/52 = 1/26

 

(ii) Probability of getting a face card:

Face cards include the Jack, Queen, and King in each suit. There are 3 face cards per suit, and 4 suits in total.

• Favorable outcomes = 3 face cards × 4 suits = 12
• Total outcomes = 52

P(face card)=12/52 = 3/13

 

(iii) Probability of getting a red face card:

Red suits are Hearts and Diamonds, and each has 3 face cards (Jack, Queen, King).

• Favorable outcomes = 3 face cards × 2 red suits = 6
• Total outcomes = 52

P(red face card) = 6/52 = 3/26

 

(iv) Probability of getting the jack of hearts:

There is only one Jack of Hearts in the deck.

• Favorable outcomes = 1 (Jack of Hearts)
• Total outcomes = 52

P(jack of hearts) = 1/52

 

(v) Probability of getting a spade:

There are 13 spades in the deck (one for each rank: Ace to King).

• Favorable outcomes = 13 (spades)
• Total outcomes = 52

P(spade)=13/52 = 1/4

 

(vi) Probability of getting the queen of diamonds:

There is only one Queen of Diamonds in the deck.

• Favorable outcomes = 1 (Queen of Diamonds)
• Total outcomes = 52

P(queen of diamonds) = 1/52