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10)What is the probability of occuring four Wednesdays in 23 consecutive days in amonth?

Answer»

Let’s assume the 1st is a Wednesday.

Seven days later, the 8th is also a Wednesday

Seven more days, the 15th is also a Wednesday

Seven more days, the 22nd is a fourth Wednesday, falling within the same month.

The same will occur if the 2nd is a Wednesday, the fourth will fall on the 23rd.

Or if the 3rd is a Wednesday, the 24th

The 4th? The 25th.

The 5th? The 26th

The 6th? The 27th

The 7th? The fourth Wednesday will fall on the 28th

In every case, within your 23 consecutive day period.

No month contains fewer than 28 days, so every month will always have a configuration with 4 Wednesdays falling within a 23 day period



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