Question

Three cards are chosen from a standard deck of 52 playing cards with replacement. What is the probability every card will be an Ace?

Answer 1

3/52 which is its simplest form, I am pretty sure.. what are the options or is it a written response?

Answer 2

`\texttt{The probability of drawing 3 ace with replacement}=(1)/(2197)`

Explanation:

Probability is the ratio of number of favorable outcome to the total number of outcomes.

`\texttt{Probability of drawing 1 ace}=\frac{\texttt{Total number of aces}}{\texttt{Total number of cards}}=(4)/(52)=(1)/(13)`

The probability of drawing 3 ace with replacement

`=(1)/(13)* (1)/(13)*(1)/(13)=(1)/(2197)`

`\texttt{The probability of drawing 3 ace with replacement}=(1)/(2197)`