Question

A deck of 52 cards is shuffled. The first five cards of the deck are red. What is the probability that the last card in the deck is the ace of spades

Answer 1

1/47

Explanation:

52 cards

5 red

probability= last card ace of spades

First do, 52-5, which gives you 47, and last card ace of spades, is 1, so 1/47 is the answer

1/47!

Answer 2

The answer is "
`(1)/(47)`".

Explanation:

Although the five first players are red, the very first five cards are not spaded as the spad is a black card.

Its chance of the final card mostly on deck being the ace of spades is therefore determined as:

`= \frac{1}{\text{Number of remaining cards with the initial 5 cards}} \\\\= (1)/(47)`

Thus,
`(1)/(47)` here is the necessary chance.