Question

In college football there are many plays that can be reviewed by the replay official in an effort to insure that correct call is made. A review may be initiated by a coaches challenge or by the replay official and there are three possible outcomes of a review. The call on the field may be overturned", "confirmed", or "stand meaning that there was not enough evidence to overturn the call nor to confirm the call. The table below indicates who initiated a review and the result for 2494 replay reviews a coaches challenge the replay booth Total is overturned 363 583 946 is confirmed 263 202 465 stands 702 381 1083 Total 1328 1166 2494 (Round all answers to 5 decimal places) One replay review is randomly selected, what is the probability that it is initiated by the replay booth or the call is confirmed?

Answer 1

Total no. of replay reviews = 2494.
Total no. of replay reviews which is initiated by the replay booth = 1166.
Total no. of replay reviews where call is confirmed = 465
Total no. of replay reviews which is initiated by the replay booth and the call is confirmed = 202.
Hence, probability = (1166 + 465 - 202)/2494 = 0.57298.