Three cards are chosen from a standard deck of 52 playing cards with replacement. What is the probability every card will be an Ace?
3/52 which is its simplest form, I am pretty sure.. what are the options or is it a written response?
Answer:
\(\texttt{The probability of drawing 3 ace with replacement}=\frac{1}{2197}\)
Step-by-step explanation:
Probability is the ratio of number of favorable outcome to the total number of outcomes.
\(\texttt{Probability of drawing 1 ace}=\frac{\texttt{Total number of aces}}{\texttt{Total number of cards}}=\frac{4}{52}=\frac{1}{13}\)
The probability of drawing 3 ace with replacement
\(=\frac{1}{13}\times \frac{1}{13}\times\frac{1}{13}=\frac{1}{2197}\)
\(\texttt{The probability of drawing 3 ace with replacement}=\frac{1}{2197}\)