You are your way to visit your Grandma, who lives at the end of the valley. It's her birthday, and you want to give her the cakes you've made.
Between your house and her house, you have to cross 7 bridges, and as it goes in the land of make believe, there is a troll under every bridge!
Each troll, quite rightly, insists that you pay a troll toll.
Before you can cross their bridge, you have to give them half of the cakes you are carrying, but as they are kind trolls, they each give you back a single cake.
How many cakes do you have to leave home with to make sure that you arrive at Grandma's with exactly 2 cakes?
[Ref: ZKXH]
Hint: At each bridge you lose half of your cakes, but get one back.
Answer: 2.
At each bridge you are required to give half of your cakes, and you receive one back.
Which leaves you with 2 cakes after every bridge.
Puzzle 2
If you roll two normal 6-sided dice, the probability of rolling a total of 7 is 1/6.
What would the probability of rolling a total of 7 be if both dice were 7-sided instead?
Puzzle 1
You are your way to visit your Grandma, who lives at the end of the valley. It's her birthday, and you want to give her the cakes you've made.
If you roll two normal 6-sided dice, the probability of rolling a total of 7 is 1/6.
My bath has two taps and a plug hole.
If a hen and a half will lay an egg and a half in a day and a half, how many eggs would six hens lay at the same rate in six days?