Question

Probability of drawing ace or spade from a standard deck of cards

Answer 1

Step-by-step explanation:

The number of spades on a standard deck of cards is

`n(S)=13`

The number of aces on a standard deck of cards is

`n(A)=4`

The number of ace of spade on a deck iof card is

`n(A\cap S)=1`

The total number of cards in a standard deck of cards is

`total=52`

The Probability of drawing ace or spade from a standard deck of cards

will be calculated using the formula below

`P(AorS)=Pr(A)+Pr(S)-Pr(A\cap S)`

Where,

There are four aces in a deck of 52 cards, so the probability of drawing an ace is 4/52 = 1/13

Then, there are 13 spades in a deck, so the probability of drawing a spade is 13/52 or 1/4

But, since one of those aces is also a spade, we need to subtract that out so we're not counting it twice.

`\begin{gathered} Pr(A)=(4)/(52) \\ Pr(S)=(13)/(52) \\ Pr(A\cap S)=(1)/(52) \end{gathered}`

By substituting the values, we will have

Hence,

The final answer is

`(4)/(13)`

The FOUTH OPTION is the correct answer