Question

a) A card is drawn from a well-shuffled pack of 52 cards. Find the probability that the card drawn is: i. A black face card ii. Neither a Diamond nor a club

Answer 1

Card structure:

• Total number of card = 52
• Card is divided into four suits: Clubs, Diamonds, Hearts, and Spades.
• Each suit has 13 cards.
• Each suit has thirteen cards: Ace - Two - Three - Four - Five - Six - Seven - Eight - Nine - Ten - Jack - Queen - King.
• Diamond and Hearts are the red card.
• Clubs and Spades are the black card.

Your Answer:

a) A black face card

There are total 6 black face card.

So, P(E)= 6/52 = 3/26

b) Neither a diamond nor a Club

There are 13 diamond and 13 clubs.

So, P(E) = 26/52 = 1/2

Answer 2

Explanation:

a) A black face card

There are total 6 black face card.

So, P(E)= 6/52 = 3/26

b) Neither a diamond nor a Club

There are 13 diamond and 13 clubs.

So, P(E) = 26/52 = 1/2