Question

41 The probability of drawing a red or black face card from a well-shuffled deck of card​

Answer 1

Overview:

• A deck of a card has 52 cards, that are further divided into four suits: Hearts, diamond, spades, club.
• 26 cards are red that consists of 13 cards of Hearts and 13 cards of diamond.
• 26 cards are black that consists of 13 card of spades and 13 cards of clubs.
• Each suit consists of King, Queen, Jack, 10, 9, 8, 7, 6, 5, 4, 3, 2 and Ace
• King, Queen, and Jack are called face cards. Each suit contains 3 face cards.

Solution:

The probability of getting a red face card from a well shuffled deck of card.

Number of cards in a deck = 52

Number of red face cards = 6

( 3 red face card from diamonds and 3 from hearts)

Probability = Number of favourable outcome/ Total outcomes

Probability = 6/52

Probability = 3/26

3/26 is the probability of getting a red face card.

The probability of getting a black face card from a well shuffled deck of card.

Number of cards in a deck = 52

Number of black face cards = 6

( 3 red face card from spades and 3 from club)

Probability = Number of favourable outcome/ Total outcomes

Probability = 6/52

Probability = 3/26

3/26 is the probability of getting a black face card.

As the number of black and red face card is same, the probability is same.

Answer 2

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