during a tennis tournament there were 611 challenges by players.

Question

during a tennis tournament there were 611 challenges by players. Among those challenges 172 were upheld with the call overturned. Assume that 33% of the challenges of the challenges are successfully upheld with the call overturned.

 

 

 

find the probability that among the 611 challenges, the number of overturned calls is exactly 172?

 

 

Answer 1

You can solve using the binomial distribution, which requires 3 terms:

 

The combinations of 172 players from a field of 611 

P(call is overturned) raised to the power of 172

P(call is not overturned) raised to the power of all the remaining players

 

[611 C 172] * [.33^172] * [(1-.33)^(611-172)]

= .0013