Six cards are numbered 1 to 6 and placed in a box. One card is selected at random and replaced. Another card is selected at random. What is the probability of selecting a 1 and then a 6?

Question

anonymous · Answer

The probability of drawing a 1 on the first card is 1/6.  Since we replace, the probability of drawing a 6 on the next card is also 1/6.  The combined probability is 1/6 * 1/6 = 1/36.  Note that the probability is the same for any two numbers you wish it to be, since they are all equally probable.

anonymous · Answer

Thank you. I am stuck on these last two questions. You really helped me out and explained it better than my teacher.

anonymous · Answer

Actually it's 1/6 and 1/5 since you've already drawn one card out when you go to pick the next one.

so 1/30 is the probability.

anonymous · Answer

The OP says the card is replaced, so it would be 1/6 again.  :)