8 basketball players are selected to play in a special game.the players will be selected from a list of 27 players .if the players are selected randomly ,whats the probability that the 8 tallest players will be selected.

There are C(27,8) or 2220075 ways to choose 8 different players from 27

One of these will contain the 8 tallest players, so the prob of selecting the 8 tallest
= 1/2220075

Ok thanks for the answer !

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To find the probability of selecting exactly the 8 tallest players from a group of 27 players randomly, we need to determine the total number of possible outcomes and the number of favorable outcomes.

Total number of possible outcomes:
Since the players are selected randomly, we can use the concept of combinations. With 27 players in total, the total number of possible outcomes is the number of ways we can choose 8 players from the group of 27. This can be calculated using the combination formula: C(n, r) = n! / (r! * (n-r)!)

In this case, n = 27 (the total number of players) and r = 8 (the number of players we want to select).

Total number of possible outcomes = C(27, 8) = 27! / (8! * (27-8)!)

Favorable number of outcomes:
The favorable number of outcomes is simply the number of ways we can select the 8 tallest players from the group of 27. Since there are 8 tallest players, the number of favorable outcomes is 1.

Probability:
The probability is calculated by dividing the number of favorable outcomes by the number of possible outcomes:

Probability = Favorable outcomes / Total possible outcomes
= 1 / (27! / (8! * (27-8)!)

Now we can use either a calculator or a computer program to calculate this probability.