Some puzzles

Q3 - the answer is the odd are the same Deck one has at least one Ace - as does Deck 2 - so there is no difference

 

I could help you all out on this. I could just use the same logic as I do when completing my fixed odds coupon, post the answers, and then you'd all know the answers because they would be the exact opposite to what I posted!
But I'm not going to!!

 

Q4 The Doctos can only test for the virus on dead people to see if they have the virus - so by vertue of being alive the probability of having the virus is the same 1 in 10 000 - so in short no not worried.

 

I think the answer to Q2 is unless the pilot is aware the plane is going backwards and he moves the flaps on the plane in the opposite direction the plane does not get off the ground

 

The odds are 0.666 is you switch and 0.333 if you don't. When you're switching you're effectively betting that the car is behind one of the 2 doors other than the one you picked initially

 

Q4. Doctors developed a test ...... What was the test for? The virus, pregnancy, IQ, the clap, drug use? That would affect (or is it effect?) my level of concern.

 

It's not meant to be a trick question, the test is for the virus and done on live people

 

Sorry, you're wrong.
Your first pick you have a one in three chance of getting the car.
If you swap you get both of the original two choices you rejected. The door the host opened and the one that's left. So if you swap you have a 2 in 3 chance of winning.

 

Good answers, except the aces one. Given the info told to you the ace of spades set is more likely to have another ace. The fact that you have been informed it contains a certain ace means there are a lot fewer possible instances of it having one ace than the deck containing an unspecified ace (as it is impossible for it to have just the ace of hearts, just the ace of diamonds or just the ace of clubs).

 

Are you sure? The information given is that both sets have at least one ace, in one instance this is specified (ace of spades). For 5 random cards there are fewer permutations of having 2 or more aces if one of those aces has to be the ace of spades. This excludes the options of AC + AH, AC + AD, AH+AD or AH + AD + AC (got me mental arithmetic wrong last night and suggested 16 combinations having 2 or more aces in a pack of cards). If I'm wrong explain it to me please, I'd genuinely love to know the error in my logic.

Edit: can't use permutations if phrase is 'at least', have to calculate all probabilities, I guess this may explain it.

 

If these are the types of things that are asked in interviews I'm glad I've had same job for 29 years, only question back then was do you want a job

 

I was offered a job with Google a few years ago. Ended up not taking it, because I didn't fancy moving down to London (the other option was Ireland, which I actually thought about...), but that's another story.

Some of the questions I got asked in the interview down there was absolutely insane.

I remember them asking me something like "How much does the Eiffel Tower weigh?" The important thing to remember if you find yourself in that position is that they're not necessarily looking for the right answer, they're looking at the logic you use to get to the answer. looking at the assumptions you make