And only when one has accepted that, is there any possibility of scoring a bull's eye.

只有当一个人意识到这一点，才能够射中靶心。

普林斯顿公开课 - 人性课程节选

It turns out that the probabilities of scoring here are as follows, 63.6, 94.4, 89.3, and 43.7.

研究的结果,概率分布如下,63.6 94.4 89.3 和 43.7

耶鲁公开课 - 博弈论课程节选

So the number for the... The payoff for the shooter is his probability of scoring and the payoff for the goal keeper is just the negative of that.

对罚球者来说,他的收益是进球的概率,而门将的收益是其相反数

耶鲁公开课 - 博弈论课程节选

So what we're going to do is we're going to look at some numbers that are approximately the probabilities of scoring when you kick the penalty kick in different directions.

接下来,我们来用数字表示,在不同角度踢点球射门,能够得分的概率

耶鲁公开课 - 博弈论课程节选

And the idea here is that the number 4 represents 40% chance of scoring if you shoot the ball to the left of the goal and the goal keeper dives to the left.

在这里表示进球概率是40%,前提是你从左路射门,而门将也扑向左路

耶鲁公开课 - 博弈论课程节选

So the payoff here is something like u1 if the goal keeper dives to the left is equal to 4, by which I mean there's a 40% chance of scoring.

收益u1表示门将扑向左路时,罚球者从左路进攻的收益是4,也就是说球被射入球门的概率是40%

耶鲁公开课 - 博弈论课程节选