My brain isn't functioning right now...
On each of the first three days of January, there is a 1/3 chance that it will snow where Bob lives. On each of the next four days, there is a 1/4 chance that it will snow. What is the probability that it snows at least once during the first week of January?
The question isn't complete :(
When you complete it, I'll be happy to help! :D
Chance that it will snow in the first 3 days: 2/3
Chance that it will snow for the last four days: 3/4
(2/3)^3 times (3/4)^4 would get us the answer!
(Probability of snowing each of the three days)
(Probability of snowing each of the four days)
(2/3)^3 times (3/4)^4 = 3/32
1-3/32=29/32
So, our answer is 29/32