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It depends on what you mean by "agree to"...
If the choices are purely random and independent, and your resolution is (lets say during working time) one of eight hours, then the probability is simply (1 in 8) squared1, which is about 0.0156. If your resolution is to the nearest minute, in any time of the day, then the probability is (1 in 1440) squared, which is about 4.82 x 10-7.
In practice, however, the choices are not random nor independent. Most people will pick certain times, favoring them over other times. Most people, when presented with the choice of the other people, will tend to bend their choice in order to compromise. There is, as a result, no way to answer this question any better than this.
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1Its squared, rather than cubed, because the first choice has a probability of 1, so we are left with only the two remaining choices.
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∙ 12y ago
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