Suppose you have the 26 letters of the alphabet on separate cards in a hat. You pick out a card, write down the letter, put the card back in the hat, mix up the cards, pick out another card, and so on. What is the probability that on your ﬁrst three draws your letters spell CAR?

Question

anonymous · Answer

This is related to probability. To spell CAR, the first letter is C. You'd need to pull out a C out of 26 letters. This is a probability of (1/26). The second letter you need to pull out is an A. This again has a (1/26) probability of being picked, since you put back the letter C into the hat. Same for letter R. The probability in the end of spelling CAR is (1/26)^3.

anonymous · Answer

I have that written down and my options are      ≈ .0384615
       ≈ .0128205
       ≈ .0096154
       ≈ .0000569 

so I am not understanding how to get one of these

anonymous · Answer

(1/26)^3

anonymous · Answer

Thanks. Still a little unclear on this.. I appreciate you answering