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nlexa [21]
2 years ago
11

Shue a full deck of cards and turn them over one by one until an Ace appears. It turns out that this happened exactly when the 2

0th card was turned over. What is the probability that the next card is (a) the ace of spades; (b) the two of clubs
Mathematics
1 answer:
BigorU [14]2 years ago
8 0

Answer:

Step-by-step explanation:

In a standard deck of cards, there 54 cards (52 cards plus 2 Jokers). There are 4 suits (kinds of shapes) in a deck namely: Clubs, Diamonds, Hearts and Spades. Each of the suits numbers from number 2 to number 10 (numbering 36 cards). Afterwards, we have 4 suits each for the Jack, Queen, King & Ace cards (numbering 16 cards). And then 2 Jokers

An Ace turned up at the 20th card, this means there 34 cards left. The number of cards left is given by the difference between 54 & 20. Mathematically shown below:

Cards left = 54 - 20 = 34

Total number of cards = 54, number of Aces of Spades ♠ in the deck = 1, number of two clubs ♣ in the deck = 1

A. Probability of the next card being Ace of Spades ♠ = the number of Ace of Spades card in the deck ÷ Total number of cards left in the deck

Pr (Ace of Spades) = 1 ÷ 34

Pr (Ace of Spades) = 0.0294 or 2.94%

B. Probability of the next card being Two of Clubs ♣ = the number of Two of Clubs card in the deck ÷ Total number of cards left in the deck

Pr (Two of Clubs) = 1 ÷ 34

Pr (Two of Clubs) = 0.0294 or 2.94%

It therefore implies that the chancess of the next card being Ace of Spades (A ♠) or Two of Clubs (2 ♣) is the same; the Ace of Spades is just equally as likely to be picked as the next card from the deck as Two of Clubs

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