Question

Probability help? Explanation please? Thank you.
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

There are 4 aces in the pack.
On the first choice the probability of an ace is 4/52.
Having drawn one ace, on the second choice the probability of an ace is 3/51.
Having drawn two aces, on the third draw the probability of an ace is 2/50.
The probability of every card being an ace is the product of the above 3 values of probability:
\[P(3\ aces)=\frac{4\times3\times2}{52\times51\times50}=you\ can\ calculate\]

Answer 2

Thank you. :)

Answer 3

You're welcome :)