I live dangerously

I feel so guilty for being sick I've decided to give you another post after less than a week. I'm so thoughtful. This one is rife with danger and intrigue but no intrigue really. And SAT questions. +/-

First the danger. My glove has become increasing tattered. This week things got real bad.


Being ever so safety conscious I ordered some new gloves. But alas, I immediately cut that thumb.


It's deeper than it looks, but my toughness kind of cancels it out. Thankfully the gloves arrived a couple days later before I could manage to remove the entire finger.


The one on the right is roughly three times cheaper so I'm going to try it out and see if it's more than 1/3 as safe.

I've updated the coming attractions with two new projects.

As for the dragon I received some encouraging words from Judy, a rare commentator. Victor had to jump in and ruin the good vibes, though.

There were also two more SAT questions. Mike is now 3 for 3 on these. He's like a really smart high school student trapped in a 27 year old who was eaten by an ogre. Here's number one and here's number two.

Answers below.

Six Cards

Answer: 2/15

To add up to three the first card can be 3 or less. This means 4 out of the 6. Whatever the first card is, there's only one card that will work for the second one to make them add up to 3. 1 out of the 5 remaining. So the chance the cards up to 3 is 4/6 * 1/5 or 2/15 or 13.33..%.


Geese

Answer: 280

We can say there were originally x geese. If 1/5 of them leave, that means 4/5 are left, so ater 1 pm there are (4/5)x geese. Then 1/8 leave, so 7/8 of those remain. Now there are (7/8)(4/5)x geese or (7/10)x geese. At 3 pm three times as many leave as at 1pm, so (3/5)x leave meaning there are now (7/10)x - (3/5)x geese, or (1/10)x geese. (1/10)x must equal 28, so x must be 280.