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keisanHigh-precision calculations for everyday life and work

Group Photo Without Blinking

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Calculate how many photos are needed to take a group photo in which everyone is not blinking.
Number of people in the photo
People≦100
Shutter speed 1/
secondsBright Area 1/125
Dark Area 1/8
Confidence level of obtaining at least one such photo
%Blink-Free Photos
Assumes that a person blinks for 0.25 seconds every 6 seconds.
1) Probability that 1 person does not blink = 1-(blink duration in seconds+shutter time in seconds)×blinks per second
 2) Probability that all photos fail = (1-(Probability that 1 person does not blink)number of people)number of photos = 1-confidence÷100
 3) number of photos = ln(1-confidence/100)÷ln(1-(Probability that 1 person does not blink)number of people)

This calculator improves a user-created calculator with graph support and other features.
Reference: Nic Svenson and Piers Barnes, "Blink-free photos, guaranteed", 2006 Ig Nobel Prize in Mathematics.

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