Probability of A Single Bird Poo hitting Ashley Young's mouth at Old Trafford on live TV
Size of a bird poo
radius = 1 cm = 0.01 m
Surface Area = 3.142 x 10-4 m2
Size of Ashley Young's mouth
width = 8 cm = 0.08 m
height = 5 cm = 0.05 m
Surface Area = 0.004 m2
Size of Old Trafford Pitch
Length = 105 m
Width = 68 m
Area = 7140 m2
Probability that the bird poo lands at 'x' on Old Trafford
P(poo = x) = Size of Bird Poo / Size of Old Trafford
P(poo = x) = 4.399 x 10-8
*Probability that Ashley Young's mouth is at 'x' on Old Trafford
P(ash = x) = Size of Ashley Young's mouth / Size of Old Trafford
P(ash = x) = 5.602 x 10-7
Probability that a single bird poo lands in Ashley Young's mouth
P(poo = x & ash = x) = P(ash = x) * P(poo = x)
P(poo = x & ash = x) = 2.465 x 10-14
Probability that Ashley Young is on screen
Broadcast Length = 90 minutes
Ashley Young Face Time = 1 minute
P(Ash on TV) = 1/90
Probability that Ashley Young eats bird poo on live TV
P(See Ash eat poo) = P(Ash on TV) * P(poo = x & ash = x)
P(See Ash eat poo) = 2.739 x 10-16
However, Ashley Young has played at Old Trafford many times, and birds have shat on Old Trafford many times more.
Let's assume that 10 birds shit on the pitch at Old Trafford during a game. Additionally, Ashley Young has played 359 professional matches (according to wikipedia), so lets assume that all of those matches provided a similar opportunity to watch Ashley eat bird poo.
overall probability of Ashley Young eating poo on live TV during his career to date:
P(See Ash eat poo) * 10 * 359 = 9.833 x 10-13
This is equivalent to 1 in 1 trillion, which is almost as unlikely as Rooney scoring for England again.