# How to lose a girl in two standard deviations

Imagine a movie where the female lead is in a STEM field. She is probably brilliant, exclusively interested in facts, unmoved by emotion, cold, and certainly not in love. How one-dimensional. How unrepresentative of female complexity. I, for instance, also happen to think of myself as a STEM woman. I teach introductory statistics and am a PhD student who has high expectations of myself and my students, believes in rigor, and enjoys pushing myself and others around me to think critically. I am also a hopeless romantic. I love nothing more than to watch a good rom-com (except for maybe forcing my reluctant partner to watch it with me).

# Puzzle: Non-transitive dice

Consider six dice, each with six numbers on them. The numbers 1 to 36 are distributed between the faces of the six dice. The sum of the numbers on each dice is 111. The six dice are labelled a, b, c, d, e, and f. If I throw two of the dice, X and Y say, and X is more likely to have a higher number than Y, then we say X > Y.

# Are professors and football stars just lucky?

You probably have a boss. A manager, an executive, the head honcho. How did they get that position? Was it their skills and knowledge? Or were they just lucky? How about you? Are you where you are because of your expertise, or because of luck? I have no doubt that you deserve your role, but luck may have played a greater role than you think. Especially if you work in a competitive environment.

# Puzzle: Oh no! Puncture!

Driving in France recently, I got a puncture in my tyre. I was 13 km from my hotel and needed to get back, but for each kilometre I drove my tyre got flatter, so I had to drive more slowly.

# Probability puzzle: How many balls in the bag?

Last week our village had a fête. One of the competitions on offer was to guess the number of balls in a bag. There were N balls in the bag, and they were numbered 1, 2, 3, …, N. To help competitors make a sensible guess, they were allowed to take out four balls and note the numbers on them.