Question

A basketball scout has developed a screening tool to identify future NBA all-stars. The screening tool is fairly reliable; 95% of all future NBA all-stars who are evaluated are identified as future NBA all-stars, and 95% of basketball players who are not future NBA all-stars and are evaluated are identified as not future NCAA all-stars. A basketball guru tells the scout that exactly one player of the 100 at a basketball camp is a future NBA all-star (and the scout believes the guru). The scout offers a recordbreaking contract on the spot to the first basketball player his screening tool identifies as a future NBA all-star. What is the probability this player truly is a future NBA all-star

Answer 1

Answer:

The value is $P(F) =0.0095$

Step-by-step explanation:

From the question we are told that

    The  probability that a player is  being identified as an NBA all-stars is 95% = 0.95

     The number of player in the camp is  n =  100

Generally the probability that a player becomes the first person to be evaluated is mathematically represented as

         $p(1) = \frac{1}{n}$

=>      $p(1) = \frac{1}{100}$

=>     $p(1) = 0.01$

Generally the probability that the first basketball player his screening tool identifies as a future NBA all-star is truly a future NBA all-star

      $P(F) = P(1) * 0.95$

=>    $P(F) =0.01 * 0.95$

=>    $P(F) =0.0095$