Any math whizzes out there? I’ve been trying to wrap my head around a couple of things, and it’s just not wrapping.
1) The CHEO Dream Home. There’s an early bird draw in December, and a grand prize draw in January. For the sake of simplicity, let’s say there’s only one of each: a car in December, and a house in January.
16,000 tickets were sold. Each ticket’s chances of winning the early bird draw are 1 in 16,000.
The winning ticket will be returned to the barrel after the early bird draw.
Each ticket’s chances of winning the main prize draw are 1 in 16,000.
That means the winner of the early bird draw has the same chance of winning the grand prize as anybody else.
But the odds of winning both prizes are much, much lower. So shouldn’t the Early Bird winning ticket have a much, much lower chance of winning the Grand Prize?
2) If I walk 10 kilometers at 5 km/hr, would I use the same amount of energy as if I walked 5 km at 10km/hr?
3) I set my programmable thermostat for 15C during the night, 18C when my alarm goes off, back to 15C when I leave for work, and 20C in the evenings. Is it hugely inefficient to warm my house up for that 45 minutes in the morning before work? And doesn’t it take almost as much energy to heat my house from 15 to 20 degrees as it would to keep it at 20 all day?